Elfaria 2 and the other ones you mentioned (even Japanese Super Mario Kart), all reached around 45 seconds ingame with no issues. given that on my eeepc this means around 5 minutes with my finger on the FFW key, I think I tested enough to remove a generic "do not work" report.
If more specific issues are reported, I can re-check them. Don't underestimate the time I spent on testing the games you listed: I never stopped to the title screen.
about me sucking at games, it's pretty much true when we talk about 8-16bit games, except for puzzle, platform and sport games (and I'm good at these only with a joypad, which I miss atm). that's why I appreciate if other people can help me with tests...
Finally, I cannot really imagine what is wrong with those broken sprites: tile and sprite code is pretty clean and it seems to follow bsnes one quite close (except for a bunch of possible missing masks, which I plan to implement soon)... I guess I'll have to debug a bit more the games, but I would point my finger towards the SNES reading/writing to OAM/VRAM at the wrong time...