Not the outdoorsy type. Some board games, and one "run around silly" game

Rubiks Race
http://www.amazon.com/Frame-Game-Originally-Known-Rubiks/dp/B0007RV3VQ

http://homepages.sover.net/~nichael/puzzles/rubrac/index.html

This is a hoot and a holler. It is like solving a sliding tile puzzle as a race.

cribbage
Maybe less about being a kid, but I definitely enjoyed playing cribbage with my sister during dull afternoons. When one of us got too far ahead, we would just quit the game and start over a new game. Also, we were kind in pointing out combinations that the other person missed. There is a lot to be said about playing competitive games in the spirit of cooperation.

capture the flag
I could not comprehend why all humans didn't play "capture the flag" at every opportunity.

http://en.wikipedia.org/wiki/Capture_the_flag