I've just played the new TMNT game on the PS2 quickly to see what it was like and I must say I was pleasantly surprised. I used to like the original TMNT arcade game from years ago with the traditional side scrolling multi player beat em up format, but I'm glad they didn't just update the old format and have instead gone for a completely new style for this game.
It uses a 3D platform beat em up style with the camera automatically sweeping around as you progress through the platform based levels. So of you like action style games you should like this. Think Tomb Raider, but more "on-rails" in a pandemonium way.
The graphics are very nice with some fast paced movement and some very nice visuals. They also haven't gone for a childish approach to the game, instead taking the style of the comics as inspiration and it works well.
The controls are beat-em-up based as is to be expected with sword and kick style fighting moves, as well as jumps and combos. In addition you also have a full range of movement in the gaming world with the ability to grab ledges, jump between walls to reach higher areas and various other moves.
If you used to be a fan of the TMNT then you should like this game. Equally if you liked games like Tomb Raider or many of the ninja style platformers then you should like this as it is a similar gaming experience, but with a slightly more linear approach to the level structure.