I'm surprised no one raised fly fishing, I would consider it a sport since the participant is actively engaged in attracting the fish. In regard to lure fishing, on days that the fish weren't biting I've fallen asleep on the bank so that's strictly a leisure activity.
Hunting can go either way. Sitting in a tree stand is a leisure activity, like fishing it's just a matter of patience and luck. Actively tracking an animal on foot I would consider a sport. Bow hunting is definitely far more sporting than using a rifle.