Yep! Born 1996.
We have a Sega Genesis with Sonic the Hedgehog (not sure which ones though). My grandparents have an NES with Duck Hunt, Contra, and some other games.
Not sure on the games' ages, but we still have a PSX.
All I remember from Sonic was the stupid carnival scene where neither my sisters or me could get past that rotating cylinder. Years later, I find out the solution and facepalm. A bajillion years too late.
Since I'm just a little older than Pokemon Red and Green, that can't be listed.