Your turtle has a weak and strong attack, as well as a special attack. Weaks can setup strongs in combo fashion, and excecuting a special attack takes away a bit of your energy, exactly like it did in the original NES sequels. There are also some platforming elements included as well, where you'll need to jump across gaps by dashing at the proper time, or doing special jumps to vault over walls (using Donatello's staff, for instance).
There weren't any noticeable problems with the game, other than the fact that it's a bit on the difficult side. This might make it hard for most to just jump right in and start doing the turtle power thing, but then again, Mirage did bring us TMNT in the first place, and those that know that one can say it wasn't easy, either.