P3P is one of the best rpgs of all time, and quite possibly the best on the psp!
The Good:
-Great Story (really sucks you in and keeps you there)
-Great Characters (each is unique, memorable and have pretty good voice overs for the most part)
-The social link system is very unique and arguably one of the best points of the game.
-Persona fusion and the velvet room quests are a good diversion from the main storyline.
-Great soundtrack as well, it differs a little based on which MC you are too.
-Fun battles without being TOO hard (unless you choice maniac difficulty).
The Bad:
-Exploring tartarus can be a pain... it has A LOT of floors, i wont say how many, but the number surprised me the first time.
-The battles can be a little routine at times, but for the most part its all good.
All in all, persona 3 portable is must have for any rpg addict, this is one of the best rpgs out for psp!