I bought this game to try the Tomb Raider series and it exceeded my expectations. It's an addictive game that captures the essence of what Lara Croft's adventures are all about.
Tomb Raider is a puzzle-solving game that requires you to jump ledges, boxes and basically perform acrobatics to get to a switch, an item etc. The puzzles, obviously, get harder as the game progresses but the learning curve is pretty smooth so you'll be ready for the more difficult parts. The puzzles do get frustrating at times but overall they're enjoyable, very rewarding and solving them doesn't get boring.
The other gameplay element is combat which is quite decent. It's not the main focus of the game so it's not perfect but once you get used to the controls and learn some advanced moves (namely the 'Adrenaline dodge' that works just like bullet time) it gets fun and serves as a nice break from solving the puzzles.
The graphics and sound are very good, levels are pleasant to look at and Lara's animations are well done and natural. There are even some actions that serve no purpose other than to look cool.
All in all, Tomb Raider Anniversary is a great game featuring classic gameplay refined to meet contemporary standards.