I would consider them sports if they were done the way I think they should be done. Want to fish? Get in the water and try to catch them with your bare hands. That would take some serious skill and training. A tub of lard man who normally sits in a boat with a pole would not be able to do that.
Hunting? Make it hand-to-paw/claw/hoof/antler and you have a sport. :) I don't consider traipsing about the land looking for an animal part of hunting either. It's required hiking.
I don't consider chess a sport so having your brains involved does not make a sport to me. If you train and condition your body and compete with other trained and conditioned people, then you have a sport.
Fishing? Not a sport.
Tuna Tossing? Sport. Lol http://www.ratestogo.com/blog/wp-con.../tuna-toss.jpg