Beach Ball Race- kids work together to hold beach ball between their backs for the first leg of the race, then their sides, then elbows. The field Day Challenge is halfway down on web site includes water relay, tricycle race, and tug-of-war.
Water Relay Races, but sitting down and blindfolded. For cold weather have the cups filled with popcorn or ping pong balls instead of water. Good indoor game, too. Could be an event for our Popcorn Explosion, fosters team work.