I am familiar with the Genesis (MegaDrive here)
Sonic. The Sonic games!
(that is, if you like fast-paced platform games.)
There is a puzzle "puyo puyo", very nice too. ^^
Uh... "Lemmings" is also a Puzzle, but it is tough. You have to save some lemmings by helping them through the levels and to the exit.
Pac-Mania was my first game actually. It is a pac-man where you can jump.![]()