Despite a strong push from the extreme ironing lobby group, the gong for the quirkiest sport involving a common domestic appliance goes to curling. What sets it apart is the frantic application of brooms by the team sliding their rock at the target (or "house").
To untrained eyes, which are mostly those not belonging to Canadians, this makes curling look like the only Olympic sport in which the athletes have to clean up after themselves. What the sweeping actually does is melt the top of the ice, maintaining the rock's momentum and straightening its line. Curling requires regular training, a high degree of skill and an impeccable grasp of tactics.