I didn't have the pleasure of playing the non-definitive edition but I did buy this game from my local game store. The storyline is excellent and the gameplay, while odd at first, turns out to work pretty well after you get used to it.
The only thing keeping me from giving it a 10 is the ease of most of the puzzles (I was really hoping it would make me work harder for some of the optional tombs, but that definitely wasn't the case.)
I know it is almost the same as the PS3 version, but, WOW! the graphics were incredible. The game play was equally as good. The story keeps you hooked. This is the type of Tomb Raider that I have been waiting for since it originally came out. Amazing game!