Over here, we have a few non-sexy/drinking games we play at night if we're bored:
There's "the stick game" in which you point a stick to the sky and watch it while you spin around twenty times before your opponent can, then throw it and try to jump over it -- which is really only fun if you hang around people who are able to have fun with just a stick.
There's also
Chinese Fire Drill, where you just cruise around to stop lights and then basically play musical chairs until the light turns green.
What we call "paint and run" where you take a can of white paint to a parking lot and paint straight lines all over the place (though it's more of a prank than a game).
And my favorite, Naked Skedaddle, where you race a friend to see who can take off their clothes, swim into the ocean until the shortest of the two is unable to stand on the ground and stay above water, then race back to shore and try to get dressed in your friend's clothes before they can get into yours. I'm not too keen on flirting in cold ocean water (it does funny things to your man parts), which is why I don't consider this a sexy game.