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Neo Jersey

a few of my fav genesis games:
Toe Jam & Earl (aka greatest game of all time)
The haunting starring polterguy
Genereal Chaos
Sonic 2
Mutant League Football & Hockey
Vectorman
Contra Hard Corps
Rocket Knight Adventures
Kid Chameleon
Rock & Roll Racing
Super Street fighter 2 SE
Cyborg Justice
Gunstar heroes

never did too much saturn gaming, but i did play the shit out of dragon force, and virtua fighter.

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NC in the US of America

Don't know if it's been suggested already, but: "Eternal Champions". Better fatalities than MK with the fluid fighting system of the Street Fighter series. Think what you may, but I enjoyed EC way more than MK and SF combined. It's pretty difficult, though.

NBA Jam (wait... there was a Genesis version, right?)
Outrun
Atomic Runner

And, as all the typical recommendations have been taken (Gunstar Heroes, Contra Hard Corps, etc): "Risk". I just love that game. Only on the Genesis though, because I can't stand board games in general.