To name a few.
Lumines - Great puzzle game.
Had a sequel but it's song/skin selection was not as good imo. Also the many other console versions fail to capture the look an feel on psp. Play it with headphones an enjoy.
Ridge Racer - Very impressive to see it first running on psp. At a silky smooth frame rate. Nice selection of songs to. Had a sequal but hardly adds anything to it.
Everybody's Golf 2 - I've put loads of time into this one more so than the tigerwood's series. It's a very nice golf game. Has a wide selection of courses an secrets an many characters to pick from. There's loads to unlock. I'l even go an say I enjoy this more than the console tigerwood's, The courses are better an it's just more fun.
Great portable of wipeout It's worth running on custom firmware an boost the mhz to 333 for smoother gameplay. Has a sequal (wipeout pulse)
Super Stardust Portable
I was a big fan of the amiga one an was expecting to hate this but I ended up enjoying it.
Yggdra Union -
Enchanced Port of the GBA version. Yggdra is a tactical rpg. I highly reccommend it. You have a card system which is used for movement an different skills. Also you can form union attacks an unleash massive damage . The AI can also do the same so it's important to check everything before you attack. It has a rock paper like system of sword vs axe vs bow etc.
Enchanced port of the GBA version
Another rpg from sting an localized by atlus. Hard one to describe this. It like uses a tile based map to move from screen to screen an you engage in battles. You have a limit to the number of times you can use items or weapons also there are many choices you can make through the dungeons this effects the score you will recieve at the end of each dungeon.
Tekken Dark Ressurection
Like the tekken series? can't go wrong with this
What kind of games do you like?