I played the version on the Wii and on the XBOX360 and would like to report specifically on the differences.
Prior to the release I had seen some videos and was enthusiastic about the new animation and moves that Lara draufhat recently.
I never imagined then immediately the Wii version bought and was initially very disappointed.
All the nice moves were missing. The atmosphere has trapped me but quite fast, so the game has then again a lot of fun.
The differences between the Wii version, I've found were broadly following:
Lara has which allow a welding torch and compressed air brush be controlled with the Wiimote.
There are those from TR: Anniversary famous castles, where you can get a little advantage of the features of the control.
Of course you aim with the Wiimote on opponents, which makes the fights due to some peculiar perspective sometimes quite confusing; There are fewer opponents. (In the sea level, there are for example no sharks -. Therefore, there is no harpoon)
Also is regenerated automatically and there is no Med pack.
Lara has no usable shoulder lamp may not undergo plunges into the water, can not shoot while climbing or balancing, can not have two enemies to target the same time, can not initialize "Adrenal Moves" and has no melee abilities.
This also some animations have been omitted.
(Since there are no shrubs, through which you can go through, Lara used not wegzutauchen her arms around the leaves.)
On light / shadow effects was largely dispensed with, among the atmosphere suffers a bit.
It is great that there is more to explore on the Wii; the levels are partially extended by one / two rooms.
(Most climbs or the like.)
The version on the XBOX360 controls a little liquid and is naturally graphically lot nicer.
Here you can tell unambiguously that the Wii is designed for a different kind of game.
If you played first on the Wii and then play on the XBOX360, one of the mouth remains open.
Nevertheless, for the Wii absolutely worth buying! 5 Stars !!