Just finished it. Loved it. It feels like parts of Tomb Raider, Uncharted and Batman: Arkham Asylum rolled into one, and it's balanced at that.
I personally like the new Lara. Yeah there is some rapid bipolar shifts from innocent and scared girl to "I'M GOING TO KILL YOU ALL, YOU BASTARDS!", but overall I like the new direction they are going with her. I look forward to seeing what they do with her in the next game.
There could have been some more tombs, and bigger tombs that didn't just have one puzzle with a giant treasure chest at the end containing salvage. I thought the game looked great most of the time but as others have said some parts aren't up to scratch and can look inferior to other games (for example character models). Some of the characters were pretty flat and overall the story and character development could have been much better, but I'm happy as it is.
I'm interested to see what they do with the next game. Although I loved the island for the most part in this game, it made sense for the story to take place in one location. But for the next I want more variety, but obviously that would change how the game plays if it's not one continuous location. But more and bigger tombs with multiple (harder) puzzles is a must, as is swimming, diving, and preferably some vehicle sections. I liked the combat and the upgrade system so I want to see them return, but the upgrade system makes sense in this game but might not in a standard sort of Tomb Raider experience.