I always thought the following childhood games would translate well into videogames, but I've never seen games based on them. I'm sure there are Flash games out there, but I'm talking about console games. Feel free to correct me if I'm wrong!
Snowball fighting - unbelievable that there has never been a full on snowball fighting game. I actually made a snowball fighting RPG in Hypercard years ago.
King of the Hill - for some reason VCS Spiderman always kind of reminded me of King of the Hill. Very simple game; find a huge mound of dirt near a construction site, whoever gets to the top first is King of the Hill, until he gets taken down. My favorite move in this game was to lift the body of the opponent before throwing him down the hill, so he would be momentarily airborne, into another kid climbing up.
Kill the Man - kind of like King of the Hill with a football. Best played with about thirty kids. Everyone goes after the kid with the ball. Probably the most violent childhood game, as the goal was to literally hurt the kid that held the ball too long.
Monkey in the Middle - many involuntary games took place in elementary school, usually involving the victim's baseball cap
Run the Bases - sort of an inverted Monkey in the Middle
Sledding - I mean just on regular plastic sleds or innertubes. Could be a mini-game on the snowball fighting game!
Kickball - perennial PE favorite
More?