gpSP 0.9 (last official release)
gpSP Kai 3.4 Test 4 Build 225
gpSP 0.9 is the last official release by Exophase. It has since been forked and is inferior to said forks. It is generally recommended to use either gpSPmod or gpSP-J. gpSP-J has superior compatibility, while gpSPmod has more options for customization (full screen, cheats, etc). Both are superior to gpSP 0.9.
This is the only GBA emulator (or set of emulators, due to having so many forks) available on the PSP. The compatibility, however, is very good, and it is generally recommended to emulate GBA ports of SNES rather than the original SNES games as a result, due to the comparatively poor emulation of SNES on PSP.