Basically anything that works on a standard emulator will run on the Everdrive - so for example the fixed roms from my site will work, but the raw dumps won't. The vast majority of bootleg/unlicensed roms in GoodGBX should work also.
(edit: btw I have one (although I think it's a clone, but the compatibility seems to be the same) so if you want to know if any specific games work, I can try them out)