So, I'm assuming you've played both Chains of Olympus and Ghost of Sparta.
As far as Action Adventure games go, I guess you could give
Dante's Inferno on the PSP a try. I haven't personally played it on the PSP, only on home console. However it is a God of War clone.
Another great game would be
Kingdom Hearts Birth by Sleep. Although, not as gory as God of War or Dante's Inferno it is still fun and a great Action Adventure game.
Dante's Inferno is a pretty straight-up clone but it's still fun and the PSP port is pretty good. It doesn't have any content cut from the console versions and controls just as well, graphics are just a bit toned down.
Kingdom Hearts is really nothing like God of War. I wouldn't recommend Birth By Sleep anyway, it was just really boring to me and unless you're somehow obsessed with the plot, you won't find it compelling at all.
QUOTE(Koetje @ Jun 24 2011, 01:33 PM) MGS: Peace Walker
FF VII: Crisis Core
Rockband Unplugged (+dlc
)