So now that the game is out on a platform that is not an xbone, let's talk about it.
Like the 2013 TR, this continues the formula of aping Naughty Dog's Uncharted series, this time adding in distinct influences from The Last of Us (There may be a pattern here). From a pure gameplay perspective, this is very much an evolution of the 2013 TR, the control scheme and the basic interactions are carried over (except for one crucial difference: the button to use rope arrows has now been reassigned to using special arrows like poison or explosive, which will mess you up at least once
Same goes for the level design: the 2013 TR was based around a number of hub areas that you would loop back into over the course of the game, this game follows the same pattern but makes the hub areas a bit larger and more intricately designed.
Puzzle design is also a bit improved IMO, the jumping puzzles are a bit more intricate.
In technical terms, this game is drop-dead gorgeous and (at least for me) performs very well (I am running an i5 6600k, an R9-285 and 16 GB of RAM). Nothing much more to say here.
One thing I would also like to mention that struck me as kinda weird and ties into the whole "aping Naughty Dog" thing: Lara was redesigned for this game; where the 2013 model looked a lot like the actress playing her, this one looks ... like a grown-up version of The Last of Us' Ellie (which incidentally makes her look something like Ellen Page in a roundabout way; Ellie was pretty much "Ellen Page, but as a child").
Further thoughts as I continue playing it.