New PSP Owner! Need some game recommendations.

Star Ocean 1 & 2

 

A lot of solid recommendations - here are some of mine; I have a variety of different games/interests:

Split/Second
Jikandia
Every Extend Extra
Platypus
Frantix
Untold Legends; The Warriors Code
Brave Story; New Traveler
Fat Princess; Fistful of Cake
Pursuit Force - Extreme Justice
Capcom Classics Collection
Cube
Practical Intelligence Quotient 2
Jeanne D'arc
Snoopy and the Red Baron
A few JP imports:
Vulcanus
Black Rockshooter
Gunhound EX
NeoGeo Heroes
Umihara Kawase portable

 

Qix++ - absolutely essential!
Space Invaders Pocket - worth having just for Majestic Twelve
and a +1 on Every Extend Extra - a work of genius.

 

If you are into turn-based strategy games and dark medieval-fantasy (Game of Thrones style), then I would highly recommend Tactics Ogre: Let Us Cling Together. I haven't played Final Fantasy Tactics psp, but the gameplay is extremely similar to Tactics Ogre from what I've seen of it (made by some of the same people too). I hear Tactics Ogre also has the better framerate of the two, and less ways to exploit the game to make it easier. I probably sank 80 hours into the game from start to finish. Even then I did not do everything (multiple endings, secret epilogue chapter, bonus dungeons, etc.). Killer soundtrack too.

 

Wild Arms XF is a great SRPG for the psp.

 

Kenka Bancho. It's a beat-em-up game in 3rd person.