I don't go for the big stuff. That would be wasteful, especially since Katara doesn't want me bring back a bunch of meat that needs prepared. She really likes having stuff ready to cook.

[The reason Sokka doesn't do it isn't for the taste or thrill of the hunt. It's one of the only ways he has of connecting to his life back at home and his identity as a hunter of the Water Tribe. He won't easily give that up.]