Here's a list of games we play (not all inclusive):

mattball
floor hockey
spastic ball
team handball
ultimate frisbee
wiffleball
sneaker/clothes relay
crab/spider ball
kickball
tug-o-war
stump clump
dodgeball
fortball
gladiator
obstacle course
russian baseball
line tag
blob tag
steal the bacon
arm ball
sack races
elbow tag