Here are a short list of suitable fish for Aquaponics:

Tilapia

Walleye

YellowPerch

Lake Perch

Bluegill

Channel Catfish

Hybrid Striped Bass

Northern Crayfish

Largemouth Bass

Smallmouth Bass

All Carp Goldfish

Sunfish Bream

Crappie Pacu

Koi

reference from: http://ezinearticles.com