Topic on Talk:Tomb Raider: Anniversary
Sorry for reverting your edit, but the 360 release really was the first version with improved visuals (mainly lighting) and was released the same year as the PS2/PC "old gen" version. See here: https://www.youtube.com/watch?v=VdNvSfBkFQ4
Using a comparison made with emulators isn't really a great idea since the missing effects caused by Xenia makes the 360 version look really "flat" in the video you provided.
PS3 version was released 4 years later as part of a remastered trilogy collection so it hardly counts for a keypoint.