Emulators on PSP
>GBA
gpSPmod (20090720) or gpSP-J (20120616)
>GB and GBC
RIN 1.32
>NES and Famicom Disc System
NesterJ 1.13 beta2 or NesterJ AoEX
>SNES
Snes9x Euphoria R5 Beta3 NoME 0.2
SNES emulation is not that good to begin with, but this is the fastest and most compatible.
>Genesis and Sega CD
PicoDrive 1.51b
>Master System and Game Gear
MasterBoy 2.10
>PCE and PCECD
HuE 0.70
>NEOGEO Pocket
RACE! 2.16-1.0
>Wonderswan and Wonderswan Color
[e]mulator v082f
>ARCADE
UOcps1psp (CPS1), UOcps2psp (CPS2), UOmvspsp (NeoGeo), UOncdzpsp (NeoGeo CD)
>What about PS1 games?
You have 3 options:
download them from Sony servers: http://www.pspiso.com/psp-games/1066688-community-psn-thread-share.html
convert isos to eboot using PSX2PSP: http://downloads.exophase.com/198/psx2psp-v142/
download pre-converted games: Devils-Shadow, PSPISO, etc.