Well it's pretty hard to name exact corresponding ships in FS and SW universe. In general, SW ships are a lot more fragile than FS ships, with some exceptions. But as far as roles go, I guess you could try and look at it in this way...
Role: SW ships - FS ships
Swarm pests: Z-95, TIE/ln, TIE Interceptor - Anubis (plus non-canon Angel, and Loki if they are incorrectly used)
Space Superiority: X-Wing, TIE/Advanced, TIE/Defender - Myrmidon, Erinyes, Thoth, Mara
Interceptor: A-Wing/TIE Advanced - Perseus, Valkyrie, Serapis, Dragon
Assault: Y-Wing, Assault Gunboat - Hercules, Herc II, Tauret,
Heavy Assault / light to medium bomber: B-Wing, Missile Boat - Ares, Artemis, Medusa, Boanerges, Bakha, Taurvi
Heavy Bomber: No clear counterpart in SW games so far - Ursa, Sekhmet, Seraphim, Nahema
...it's kinda strange to assign some ships to certain categories, since the roles and properties of some ships and categories overlap slightly. For example, B-Wings are faster and slightly more maneuverable than Y-Wings and have more shields and more fire power, but less hull durability. In similar fashion, Missile Boat is way faster than Assault Gunboat and more maneuverable as well (IIRC), and has mainly warheads as it's weaponry, complemented with a single superlaser cannon.
Star Wars universe also doesn't really have heavy bombers as dedicated ships; pretty much all ships with warhead launchers can carry Heavy Rockets and Space Bombs - the firepower is more limited with the number of warheads you can fit in, say, Z-95 Headhunter.
On the other hand, FS universe has very little Swarm Pests... Perhaps the closest match to TIE/ln's would be the Vasudan Anubis coffin. And perhaps Basilisks... but aside from them, each side seems to go with quality instead of numbers.
Y-Wing is in some ways like the Ares with a Herc payload. B-Wing is like a Herc II with Ares payload. Assault Gunboat is pretty similar to a Tauret.