The first game I played was in my fathers 386 when I was like 8 years old. I don't remember the name but the game consisted in two King Kongs on the top of buildings throwing bananas to each other. The one that hits the other gorilla wins. It was a simple game with very basic graphics but for a 8 year old kid it was awesome.
I also remember the GP, a formula 1 car game, lemmings, scorch (similar to the gorillas game but we command tanks and have several weapons to kill the enemy). Another game that I was addicted to as a game of beach volley I can't remember, I spent hours playing this game.