I was one of those people who started off with the Atari. I played Pacman, racing games, and the game where you were either the tank or airplane and you would shoot the other enemies.
I played the Sega all the time. I loved playing Sonic, but I wasn't very good at it so I never actually ended up beating it. The game that I absolutely loved was Contra. I even play that every now and then on my computer. I also had a few other games such as this game where you were a dinosaur on a skateboard, but I have no clue what it was called. Battletoads, Beavis and Butthead, Garfield, and plenty of ninja games really filled my childhood. I was a gamer from birth. (I had so many games that I can't even think about listing them all)
When I was a little older I moved on to the gameboy. I played Mario a lot along with the different Pokemon games. I still have all of these games along with the original black and white gameboy, but I haven't touched them in years.
I got a little advanced later in my life with the PS1. I mostly played Grand Turismo, Spyhon Filter, and random demos that I would get in the mail. Then I was introduced to Resident Evil! Oddly enough, I found Resident Evil 3, moved on to number 2, and then played number 1. These are by far my favorite series for the PS1. I then discovered the RPG. MY FAVORITE GAME STILL IS LEGEND OF DRAGOONS, which reminds me that I have it on my computer. I also played an amazing Final Fantasy game for the PS1. These games almost created a second life for me because they absorbed you into the game, making you think you were in them.
I could probably talk about a lot of these things for quite awhile. :P