These are for psp that I haven't seen mentioned yet.
Popolocrois
Cutesy fairy tale like rpg. The psp one includes all the previous chapters as well. You can get as much or as little into combat as you want (you can individually set party members to autoact.
Phantasy Star Portable 2
If you know Phantasy star online 2, this is that but more clunkier/deliberate/meatier
in a good way, like how MHFU is clunkier than MH4U. If you don't know PSO2, then imagine anime in space huddled on top of a vn and a pretty good and responsive game. Needs some time to get used to, but it's pretty a pretty good game and a great timesink.
just don't forget to play the story first to unlock the non dropbased outfits and stuff like that. You can also play online (like MHFU) if you make a lobby and do the additional steps.
DJ Max Portable series
Rhythm game. Has a lot of modes usually (4,6,8, some have remixes as well) and an alright selection of tracks as well. Nothing too unique, but it's pretty fun.
Undead Knights
Choose one of 3 characters
personal opinions, but If you choose anything other than Remulus, you are a FAGGOT, and devestate a fantasy kingdom. Has a neat zombie turning mechanic where you can turn mooks into zombies that take orders from you. Has some neat gameplay mechanics related to it, like needing a certain amount of zombies to form a bridge for you to walk over gaps or to bring down gigantic enemies. Don't forget the heavy metal that's blasting during gameplay.
n+
It's that platformer flash vidya you played on newgrounds/stickpage a lot.
Ace combat series
There's some not well known entries of ace combat on the psp. Also the previous ones if you use psx.
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