Keep tag, touch football, and dodgeball and just punish the children who play too rough or get too touchy feely. They can also just do permission slips where parents give their children permission to play basic school yard games, with an understanding that their are some basic risks. Also, why is there "unsupervised" anything on the schoolyard? Not enough monitors?
I hope they got rid of those hard arse red balls we used for dodgeball and kickball when I was little. We would sometimes use soccer balls. Ouch.
On a somewhat related note: I remember in high school when horseplay became very popular. All of a sudden we had guys chasing each other down the halls between classes, throwing each other into lockers, and a few times accidentally throwing each other out of windows or down stairs. The principal made an announcement that horseplay is banned and that being caught will result in suspension. That type of ban makes complete sense because horseplay isn't really a school yard game, high school students don't have recess, and horseplay usually results in someone getting hurt.