Okay, because I was intrigued and the thunderstorms outside gave me the time (:S):
WARNING: SPOILERS!!! If you would like me to spoiler tag this, please just let me know.
Using the OP as a template, I tried to create an up-to-date version, with Sunglare being the last event chronologically. Ships that existed in the past and were destroyed in the past are also listed (such as the Renjian), so that you can see what we (generally) know about the significant losses sustained thus far. Also, unless it's clear on how much of a given group of fighter squadrons were killed in a given battle, I only have estimates or I ignore that section altogether.
Key:
Bold = In theater, and either ready for action or close to it.
Underlined = Uncertain status; in most cases, it's a ship that could have been destroyed in a mission, but probably wasn't. In other cases, it's too uncertain about how much damage a given ship took, and whether or not it'd be ready for action any time soon (or if it'd be recalled back to Delta Serpentis for the remainder of the war).
Bold/Underlined = Somewhat uncertain status, but in most cases it survived and is battle-ready or relatively close to that status.
*X* = Dead. Usually followed by the mission/event in question where it died.
***C?*** = Presumed captured.
***C*** = Captured.
? = Uncertain, period. This ship is either rarely (if ever) mentioned, and its exact fate uncertain. Still, if it exists, it probably is still alive and kicking. Some of these are bolded, indicating that though little info is given about them, they are likely in good shape and in theater.
UEF: (initial list from pre-Artemis Station)
3JRF - Third Fleet, or Jovian Rim Fleet
Capital Assets
Command
DD 03 Toutatis
FrigRon Alpha
FG 3101 Nelson *X* (Artemis Station)
FG 3102 Cormorant *X* (Artemis Station)
FrigRon Bravo
FG 3103 Katana *X* (Delenda Est)
FG 3104 Altan Orde *X* (Delenda Est)
FrigRon Charlie
FG 3105 Minh *X* (Collateral Damage)
FG 3106 Ardent *X* (Collateral Damage)
FG 3107 Akula *X* (Collateral Damage)
FrigRon Delta
FG 3108 Rhineland *X* (Cost of War)
FG 3109 Serenity ? (can't find a mention of it)
Tactical Artillery Squadron Alpha
FA 3308 Vikrant (seen in Sunglare near Toutatis)
FA 3309 Toreador (seen in Sunglare near Toutatis)
Tactical Artillery Squadron Bravo
FA 3310 Rajput *X* (Collateral Damage)
FA 3311 Ranvir *X* (Collateral Damage)
**It's unclear how there's a second Karuna in the 3rd Fleet in Sunglare: in Collateral Damage, the Akula is described as being the remnant of FrigRonCharlie, and the Rhineland was extremely heavily implied to have been destroyed by the Tev strike force you encounter at the end of Cost of War. With the Katana and Altan Orde destroyed in Delenda Est, and the Rajput being implied to have been destroyed in the same way the Minh and Ardent were implied (and the Nelson and Cormorant confirmed dead at Artemis Station), the only Karuna implied to have survived to Sunglare in the 3rd Fleet is the Serenity. That said, it is possible that the second Karuna is actually from the 1st or 2nd Fleets.**
**UEFg Renjian destroyed at end of AoA**
**Two 3rd Fleet frigates and four Sanctus cruisers destroyed in First Battle of Neptune. Another frigate lost in the second engagement of the war, when Calder deployed four frigates to test and confront the 14th BG after the destruction of the Renjian.**
Cruisers & Support
Twenty to twenty-five cruisers, split into two-ship torpedo strike divisions or CruRons, including
CA 3240 Ironhide
CA 3241 Suffron
*CA 3242 Dea Bricta *X* (double-check) ** (One of the two cruisers between Dea Bricta and Auxerre is highly likely to be destroyed in Aristeia; the other has a good chance at surviving, though)
*CA 3243 Auxerre *X* (see above)
CA 3244 Segura ? (possibly one of the cruisers seen near Toutatis in Sunglare)
CA 3245 Tripoli ? (possibly one of the cruisers seen near Toutatis in Sunglare)
UEC St Vincent *X* (Artemis Station)
UEC Sabaragamuwa *X* (Artemis Station)
UEC Dea Nemetona *X* (Artemis Station)
UEC Dea Soucanna *X* (Artemis Station)
probably five or six ECM assets, most not yet up to full functionality
UEA Anjaneya ? (double check) (potentially destroyed in Aristeia; good chance it wasn't in most playthroughs, IIRC)
UEA Guerrere *X* (Aristeia)
UEA Hanuman *X* (Delenda Est)
NOTE: In Sunglare, when the Toutatis and (presumably) the remainder of the 3rd Fleet is shown, there is one Solaris, two Narayanas, two Karunas, and three Sanctus cruisers. It's possible that there are other surviving 3rd Fleet ships that simply weren't present in the shot, but it does make you wonder if the 3rd Fleet took some particularly heavy losses elsewhere in DE.
2FM - Second Fleet Mars
Capital assets
Command
DD 02 Eris
First Frigate Divisionn
FG 2101 Indus ** (heavily damaged, unknown future status)
FG 2102 Yangtze *X* (Delenda Est)
Second Frigate Division
FG 2103 Ridwan ? (can't find a mention of it)
FG 2104 Hebrides ? (can't find a mention of it)
Third Frigate Division
FG 2105 Vallis Marineris ? (can't find a mention of it)
FG 2106 Bradbury ? (can't find a mention of it)
Flexible Fire Division
FG 2107 Tigris ? (can't find a mention of it)
FA 2308 Hesperia
FA 2309 Qadesh ? (can't find a mention of it)
Counter Division
FG 2110 Ultima ? (can't find a mention of it)
FG 2111 Kongo ? (can't remember any mention, but sounds vaguely familiar)
Cruisers & Support
About fifteen to twenty cruisers deployed singly to reinforce existing divisions in their mission profiles, almost never solo, including:
CA 2232 Termagant ? (can't find a mention of it)
CA 2233 Kyoto *X* (Delenda Est)
CA 2234 Insuperable *X* (Delenda Est)
1HF - First Fleet/Home Fleet
Capital assets
Command
DD 01 Solaris
Frigate Flotilla, Strike Assignment
FG 1101 Churchill
FG 1102 Queen Elizabeth
FG 1103 Avalon
Frigate Flotilla, Deterrence Assignment
FG 1304 Shiraz
FA 1337 Masyaf
Frigate Flotilla, Special Assignment
FG 1105 Sallah ad-Din
FG 1106 Alexander ?
FA 1307 Endurance
FA 1308 Prince Eugene ?
FA 1309 Charles de Gaulle ?
FA 1310 Decatur ?
Cruisers & Support
About twenty to twenty-five cruisers, deployed solo or in three-ship wings, including
CA 1225 Vilnius *X* (Post Meridian)
CA 1226 Vatican *X* (Darkest Hour; often destroyed but feasible to save in normal playthrough; heavily damaged at best)
CA 2231 Dea Icaunis (survived My Brother, My Enemy if you defeated SOC wing. Destroyed otherwise.) (possibly not from Home Fleet)
NOTE: Oddly, in Sunglare, the Solaris and a nearby Kumari instillation is only accompanied by a single GTL Anemoi ship. While it's unlikely Home Fleet took significant losses in DE, it is still a tad odd.
Defectors and Captured Ships:
GTL Solace, Anemoi class logisitics ship. Defected to UEF. (possibly the Anemoi seen next to the Solaris in Sunglare)
GTC Duke, Hyperion class cruiser. Defected to UEF. (not seen or directly mentioned in WiH)
GTCv Labouchere, Chimera class corvette. Defected to the UEF. (not seen or directly mentioned in WiH)
GTL Agincourt, Anemoi class logistics ship. Captured by Wargods. ***C*** (possibly the Anemoi seen next to the Solaris in Sunglare)
Presumably captured:
GTCv Atenor, Deimos class corvette. Presumably captured by Wargods. ***C?*** (fate is not mentioned or confirmed)
GTC Norfolk, Aeolus class cruiser. Presumably captured by Wargods. ***C?*** (fate is not mentioned or confirmed)
Note: It is not clear how these captured vessels will be used, aside from the GTL's (we only know that they're being used for Byrne's secret project, and not directly supporting combat operations). It is also not entirely clear what happened to the Antenor and Norfolk--whether they were captured, repaired quickly and withdrawn safely by the GTVA, or something else.
Now, for the GTVA's side. This is a bit messier, sorry.
The current (and past) GTVA forces in the Solar theater consist of elements of the 2nd, 4th, and 5th Terran fleets, and of those fleets, portions of the 2nd, 13th, 14th, 15th, and 16th Terran Battlegroups. Keep in mind that this is not and at this point CANNOT be a full list of all GTVA ships in Sol, only what I could glean from briefings, mission events, and the fiction. Only one ship on this list (the GTCv Harpy) is actually left unnamed in the fiction, and I took the liberty of naming it myself since it has been confirmed in theater, but remained nameless.
GTVA Solar theater OrBat:
2nd Fleet, consisting of the Terran 2nd (provisional designation) and __th Battlegroups
2nd Battlegroup:
Flagship -
GTD Carthage, Orion class destroyer. Remains in theater. Recently participated in destruction of majority of Wargods battlegroup. CO: Admiral Anita Lopez.
Supporting warships -
GTCv Leander, Deimos class corvette. Destroyed or driven off by Wargods. (most likely survived Delenda Est)
GTCv Iolanthe, Deimos class corvette. Destroyed or driven off by Wargods. (most likely survived Delenda Est)
GTCv Deianira, Deimos class corvette. Destroyed or driven off by Wargods. (most likely survived Delenda Est)
GTCv Legionary, Deimos class corvette. Destroyed or driven off by Wargods. (most likely survived Delenda Est)
GTCv Arethusa, Deimos class corvette. Destroyed by Wargods and supporting Narayana frigate. *X* (What Binds Us?)
GTCv Atenor, Deimos class corvette. Presumably captured by Wargods. ***C?*** (Pawns on a Board of Bone)
GTC Norfolk, Aeolus class cruiser. Presumably captured by Wargods. ***C?*** (Pawns on a Board of Bone)
GTC Voronezh, Aeolus class cruiser. Destroyed or driven off by Wargods. (most likely survived Delenda Est)
GTC Joketsu, Aeolus class cruiser. Destroyed or driven off by Wargods. (most likely survived Delenda Est)
GTC Grissom, Leviathan class cruiser. Destroyed or driven off by Wargods. (most likely survived Delenda Est)
GTC Systema, Leviathan class cruiser. Destroyed or driven off by Wargods. (most likely survived Delenda Est)
Supporting fighter squadrons - ((all destroyed))
39th Szczerbiec
61st Kampilan
63rd Sword-and-Spear
161st Yoshisada
181st Bloodhounds
202nd Lobos
330th Scythians
332nd Firebearers
378th Blue Diamonds
380th Executioners
401st Ninetails
402nd Tulwar
491st Balrog
507th Goliaths
529th Kilji
663rd Firebearers
4th Fleet, consisting of the Terran 13th and 16th Battlegroups.
13th Battlegroup:
Flagship -
GTD Meridian, Hecate class destroyer. Sustained heavy damage and forced to withdraw from Sol after engagement with UEF 2nd Fleet, First Frigate Division and supporting elements. CO: Admiral Cyrus Severanti (Post Meridian; may be able to return to Sol Theater by the time of WiH P2)
GTD Hood, Hecate class destroyer. CO: Unknown ((Sustained heavy damage during Aristea before it withdrew, seen next to Atreus in Sunglare with no visible major damage))
GTCv Juarez, Deimos class corvette. Destroyed or forced to withdraw by 2nd Fleet, First Frigate Division and supporting elements. (Post Meridian; one of the ships more likely to have been destroyed in the battle)
GTCv Harpy, Deimos class corvette. Destroyed during the First Battle of Neptune. *X*
GTCv Cardinal, Deimos class corvette. Driven off after taking heavy damage.
GTCv Indomeneus, Deimos class corvette. Remains in theater.
GTCv Regensburg, Deimos class corvette. Driven off after taking heavy damage.
GTCv Redoubtable, Deimos class corvette. Forced to withdraw after taking heavy damage.
GTC Essex, Aeolus class cruiser. Destroyed or forced to withdraw by 2nd Fleet, First Frigate Division and supporting elements. (Post Meridian)
GTC Ajax, Aeolus class cruiser. Destroyed or forced to withdraw by 2nd Fleet, First Frigate Division and supporting elements. (Post Meridian; implied to have survived)
GTC Cho, Aeolus class cruiser. Remains in theater.
GTA Argus, Charybdis class support vessel. Remains in theater.
Supporting fighter squadrons - ((many destroyed))
9th Fighting Tarsiers
11th Tactical Assault (name forthcoming?)
42nd Pythons
42nd Striders
66th Scarlet Horse
75th Vigilantes
77th Tactical Strike (name forthcoming?)
101st Sidewinders
103rd Archers
500th Helldivers
500th Gladiators
545th KukGris
508th Prowling Bears
555th Swordfish
556th Stallions
591st Flare Riders
899th Undine
16th Battlegroup:
Flagship(s) -
GTD Requiem, Hecate class destroyer. Nominal flagship of the battle group, forced to withdraw after an ambush by 3rd Fleet. CO: Unknown (Second Battle of Neptune-ish)
Supporting warships -
GTCv Arcane, Diomedes class corvette. Detached to SOC service. Remains in theater. (? - where is this mentioned or seen?)
GTA Specter, Charybdis-class AWACS. Detached to SOC service. Remains in theater. (seen in Deals in Shadows, unknown which group it belongs to)
Supporting fighters squadrons -
93rd Adders
315th Jade Falcons
501st Legionnaires
5th Fleet (provisional designation), consisting of the Terran 15th and 14th Battegroups.
15th Battlegroup:
Flagship -
GTD Atreus, Raynor class destroyer. Currently remains in theater. Equipped with advanced and experimental technology. CO: Admiral Chiwetel Steele.
GTD Imperieuse, Titan class destroyer. Currently remains in theater. Destroyed the greater portion of the Wargods battlegroup. CO: Rear Admiral Verena Winters
Supporting assets -
GTCv Siren, Chimera class corvette. Destroyed by Wargods battle group. *X* (The Plunder)
GTCv Hydra, Chimera class corvette. Part of Serkr team. Equipped with advanced and experimental technology. Remains in theater. Participated in destruction of Wargods TF alongside the Imperieuse.
GTCv Pilum, Chimera class corvette. Part of Serkr team. Equipped with advanced and experimental technology. Remains in theater.
GTCv Marcus Glaive, Bellerophon class corvette. Part of Serkr team. Equipped with advanced and experimental technology. Remains in theater.
GTCv Medea, Diomedes class corvette. Destroyed by the Wargods battle group. *X* (Aristeia)
GTCv Valerie, Diomedes class corvette. Destroyed by UEFg Indus. *X* (Darkest Hour)
GTCv Triteia, Diomedes class corvette. Escapes destruction at the hands of the UEFg Katana and Altan Orde.
GTCv Ania, Deimos class corvette. Destroyed by the UEFg Katana and Altan Orde. *X* (The Blade Itself)
GTCv Thalassa, Deimos class corvette. Destroyed by the UEFg Katana and Altan Orde. *X* (The Blade Itself)
GTCv Snipes, Deimos class corvette. Remains in theater.
GTC Courageous, Hyperion class cruiser. Remains in theater.
GTC Novikov, Hyperion class cruiser. Remains in theater.
GTC Elissa, Hyperion class cruiser. *X* (The Plunder)
GTC Utica, Hyperion class cruiser. Destroyed by Wargods battlegroup. *X* (The Plunder)
GTL Agincourt, Anemoi class logistics ship. Captured by Wargods. ***C*** (The Plunder)
Supporting fighter squadrons - (a small portion destroyed, IIRC)
2nd Stormriders
11th Strategic Assault (name forthcoming?)
12th Tactical Bomb (name forthcoming?)
13th Strategic Assault
41st Bengals
60th Bloodletters
119th Immortals
212th Silver Scythes
465th Illusionists
744th ESMS 'Avalanche'
908th Trailblazers
909th Stingrays
14th Battlegroup: (underlined ships may be deployed to Sol theater by the time of WiH P2, but uncertain. They are nevertheless possibilities).
Flagship -
GTD Orestes, Raynor class destroyer. Departed Sol theater hours after commencement of hostilities. CO: Vice Admiral _____ Morian
GTD Temeraire, Titan class destroyer. Departed Sol theater hours after commencement of hostilities. CO: Rear Admiral Thea Carey
Supporting assets -
GTCv Boreas, Bellerophon class corvette. Departed Sol theater hours after commencement of hostilities.
GTCv Labouchere, Chimera class corvette. Defected to the UEF.
GTCv Miranda, Chimera class corvette. Departed Sol theater hours after commencement of hostilities.
GTC Bretonia, Hyperion class cruiser. Departed Sol theater hours after commencement of hostilities.
GTC Duke, Hyperion class cruiser. Defected to UEF.
GTC Persephone, Hyperion class cruiser. Departed Sol theater hours after commencement of hostilities.
GTL Solace, Anemoi class logisitics ship. Defected to UEF.
GTL Fortune, Anemoi class logistics ship. Departed Sol theater hours after commencement of hostilities.
Oh, and before I forget, thanks to Mars, Droid, Hades, and Battuta for helping and pointing out the numerous ships I missed.
3 Tev AWACS ships (Acuity, Killian Bard, and Sagacious) likely destroyed (at least driven off) in Darkest Hour. *X*
GTA J. E. Hoover *X* (likely destroyed in Aristeia; possible for it to escape with major damage instead).
*** Vasudan ships in Sol ***
GVD Shepsekaf, Hatshepsut class. Remains in theater. (seen in Sunglare alongside other Vasudan ships
GVCv _____, Sobek class. Remains in theater. (seen in Sunglare alongside other Vasudan ships
GVL Pesedjet, Tawaret class. Remains in theater. (seen in Sunglare alongside other Vasudan ships
GVA ______, Setekh class. Remains in theater. (seen in Sunglare alongside other Vasudan ships)
GVC ______, Aten (!) class. Remains in theater. (seen in Sunglare alongside other Vasudan ships)
**One Deimos lost in First Battle of Neptune (possibly others). Many fighters and bombers lost in First Battle of Neptune.**
Note: Interestingly, an Aeolus cruiser is seen nearby in Sunglare, no more than ten km from the Vasudan group. Not sure who it is, or why it's there. (( actually, it's two Aeolus cruisers and a Deimos corvette...maybe members of the Carthage BG?))
Note2: Vasudan stance on the war is unclear at this time. Logistical support is known, but everything else is TBA. That said, I imagine it will still have an impact on the theater--if the group stays at Artemis Station, the Tevs don't have to keep ships there to defend it during major fleet engagements.
In Sunglare, Toutatis is shown with two Narayanas, two Karunas, and three Sanctus cruisers. An Anemoi logistics ship is seen next to the Solaris. The Eris is next to a Narayana and three Kadmos freighters (and, uniquely, two connected Kumari instillations). Vasudan/Tev group is implied to be near Neptune.
-------------------------------------
So, there are some gaps here and there in what we know, but I get two gists from this:
1) Home Fleet has a surprising amount of power. The problem is that it rarely sees use, and the Solaris' effect as a "fleet in being" deterrent is minimal, because he's never deployed it and the opposition knows his personality/history/psychology well enough to be pretty certain about how far they'd have to push Byrne to get him to deploy the Solaris. And with no upgrading/refitting, it's the weakest destroyer of the three, presumably.
2) If the UEF's three fleets actually worked together and coordinated their strategies on a responsible level, they'd have more than enough strength to outright drive the GTVA out of Sol, at least before Steele's BG shows up. Even then, they have a lot more options available than it seems in WiH P1; during the events of Aristeia, for instance, the GTVA's Solar forces are all completely tied up with 2/3 Fleet's maneuvers. So instead of using that opportunity to do some major damage, half of the UEF's forces sit back and do nothing. Byrne's analysis of the battle (after the fact) was surprisingly insightful, but it is kind of moot when he has most of his forces do nothing throughout the war. Inaction can be just as reckless as bold action, depending on the circumstances.
3) No mention of any Custos or Cretheus patrol cruisers, yet.
4) Erm...all but one Diomedes corvette are destroyed without achieving much. Going from memory, this is because they were deployed alone, offensively, against more numerous and generally more powerful opposition. I don't really understand why these supposedly expensive corvettes are somewhat carelessly thrown into a hornet's nest, alone, time and again for...unmentioned justification (I think) is beyond me. Why was the Medea deployed, by itself, to attack the Wargods TF in Aristeia long before they were in range of the Hood (allowing the TF to take on each of the threats one-at-a-time; between the Indus, Yangtze, two Oculus AWACS, and two Sanctus cruisers, it seems rather odd that sending the Medea in alone to engage them would be considered anything less than suicide.
5) If Home Fleet doesn't really start using its ships more proactively and unpredictably, things might get ugly real fast for the UEF. At this point, the GTVA (after a short repair/resupply period) can focus on picking off UEF frigates one-by-one, taking advantage of Byrne's passivity to whittle down 2nd and 3rd Fleets. Lure out a frigate or two with a shock-jump on a random frigate or Sanctus, and when they show up, hit them with another shock-jump from Serkr team. The forces present would be powerful and numerous enough to make even Calder hesitate to commit the huge forces needed to take on such a threat, giving the shock-jump teams all the time they need to get away.