Everything good about a Prince of Persia game is here.
You really feel like you're moving forward through the game because the environments are more linear; that is, you don't keep retracing your steps. This makes the game alot more fun, too, because you aren't preoccupied with missing part of the map.
The jumps and runs and swings and moves are very good. There are a lot of them, and the difficulty level is such that the moves are challenging enough that they are exciting but not frustrating, and playable enough that they are fun but not repititious.
The return of the Prince's voice from PP SOT is welcome, and so is the persian-style music without the heavy metal.
When I first started playing the graphics seemed a little on the rough side, particularly character wise: the Prince looked a little blocky, and his arms looked sort of like monkey arms. Also, the enemies are brilliantly designed, but you never really get a good, satisfying look at the enemies you are fighting. But the game is so fun, and playable, that these things are fairly soon forgotten.
A great game.