Also, one other caveat, I am running this off of Project Eris, which I think uses standard retroarch rather than Kyland's Xtreme build.
I started checking because of Kyland updating his core to the 'Amped' version but as far as I can tell none of these games actually need Amped over the standard Xtreme core. I've added a game or two since, but since nobody is likely to check a month-old post, I thought I'd update the list here with a bunch more games that seem to work. About a month ago I posted this list of PSP games I was able to get working in either the standalone PPSSPP mod or the KMFDManic Xtreme PSP core for Retroarch which don't need the analog nub.