Jungle Strike. I didn't have many games but I liked this one better than Sonic.
I like the part with all the "begats"
Romance of the Three Kingdoms. Or Aerobiz.
Bah I played hours and hours of the road rash series, and even had Sewer Shark and Night Trap, played quite a bit of Streets of Rage and Sonic, just those two were my favorites :)
Exodus? leviticus? numbers?
Golden Axe and Phantasy Star IV.
Cool Spot<br />
Well, I was going to answer Adam (from Genesis 1), and then noticed it said 'game', NOT 'name'. Never mind.