It's dodgeball for 2-4 players, but without any of those pesky rules!
1-6 players play soccer on multiple fields at the same time. Accidentally scoring an own goal somewhere is BAD.
1-6 sheep compete to roll to the finish first, with many treacherous obstacles trying to turn them into The Unrollable Triangle.
1-4 players try to deliver teddy bears to a warm bed ... whatever it takes
Baking breads by throwing hats. Chaotic co-op game for 1-4 players trying to run a bakery.