Slip and slide races
Greco style boxing, Roman would also be acceptable (no moving just trading punches until someone went down)
Synchronised sky diving, or some sort of sky diving
Endurance swimming (how far under water can you go on one breath)
Tractor pulls or other worlds strongest man stuff.
Mountain climbing races
Horseback archery or shooting
Ultimate frisbee
Curling (it's awesome enough to be needed in both)
Parkour/ninja warrior stuff
Whack-a-mole
Ski-ball