I might ask the teachers or administration if they every facilitate athletic games that are out of the norm during recess. I am sure your kid is not the only one being left out.
Although it is not common, I have heard of programs like this nowadays to counter the obesity epidemic. There are other games like wall ball, four square, or obstacle courses (american ninja warrior is very popular) that the kids who don't like traditional sport may enjoy.
It is worth a try to see if you can get the staff more involved in getting the kids involved.
