As mentioned in last week's preorder news, Persona 3 is porting to the PSP with more characters and an improved system. See the Persona 3 world through the eyes of a girl, for those who have beaten the game already with the male protagonist, play again with a female.
Build different relationships around the girl and see how you can save the world with her. The game makes use of Persona 4's system, so you can command your player characters directly during battles.
Novices can use the beginner mode while the veterans can use the Maniacs mode (which far surpasses the Hard mode in the difficulty department.)