PE is a great class for developing teamwork and cooperation skills for all levels. You might competing against others, or simply working together to accomplish a goal, but you have to get along with others to have success.
We all remember the parachute from our school days. It takes the whole class cooperating to make a giant dome, or pop the balls off the parachute, or even play catch back and forth using smaller chutes. Other collaborative activities like the human knot or hula hoop pass develop these skills as well.