I played 2 final fantasy's that aren't turn based and they are probably the best games on psp. Um well I will go with japenese rpgs because Skyrim is really the only western rpg people play and its not all that. But Dark Souls however is one of the greatest games ever created and I think its also japenese so yeah.
In GTA San Andreas me and my brother put in the flying cars cheat, stole a firetruck, flew it into the sun and put out the sun with the fire hose. And I'm not sure if this counts but in Sodom Fireteam Bravo 2 I was playing online and a hacker teleported into me, started dancing, and turned off my psp