This might sound slightly odd but...
Age:4-6
Game: Grand Theft Auto
At grandma's place.
I remember the joys when my cousins came to visit grandma (She was my neightbour) and then me and my brothers would go down and play GTA. I dont remember much, but I do remember those funny red dots that came when you ran someone over, and the fact that the game was from "bird perspective". I always wanted the car with a smiley on the roof, the catch was that in order to get it I had to steal it from "the smiley mafia". (though the smiley cars might have been GTA 2?)
As you might have figured, I'm not as old as many of you.