Zac Smith said:
Lumines, I recently found my PSP with Lumines, n it's keeps me busy for hours
Indeed, Lumines is easily the best "falling block" puzzle game I've played since Tetris. Hell, it's BETTER than Tetris in alot of respects.
Lets see, if you like balls-hard action platformers, then maybe you should check out the Prinny series. Reminds me alot of classic 16-bit platformers, although they're DAMN hard. But maybe you like that. Plus, they've got a great sense of humor.
If you're into fighting games, you should check out Darkstalkers Chronicles: The Chaos Tower. It's a good opportunity to get aquainted with Capcom's OTHER fighting game series.
Aside from that, I can't think of that much, but then again, I bought a PSP SPECIFICALLY for the JRPGs, since the system has so many.