Edward / 454BBC. Hate to rain on your parade but in the State of Georgia, it is not legal to hunt all game with Air Guns. It is legal to hunt Small Game and Furbearers with air guns during the state set seasons for those animals. But all other game firearms are specified by the state. As an example, Deer and Bear. Centerfire only. .22 caliber or larger with expanding bullets.
Deer and Bear. Shotguns 20 guage or larger loaded with slugs or buckshot. Deer and Bear. Muzzleloaders .44 caliber and larger. Deer and Bear. Primitive weapons. legal during primitive weapons seasons includes crossbows, bow and arrow and muzzleloading firearms.
As you can see, not all game can be legally hunted with airguns.
Again, only Small Game and Furbearers can be legally taken with airguns.
This information is in the 2009 - 2010 Georgia Hunting Seasons and Regulations booklet.