Someone mentioned "bubbas from Georgia" whatever. For what it's worth, here's my contribution.
KTMA - Tifton, Ga - The most historical airport that I've noticed lately is the Henry Tift Myers airport in Tifton, Ga. I'm not a big history buff, but Henry Tift Myers was a WWII pilot of note, and I believe it also said he was a pilot for President Eisenhower. They have a few interesting pieces on display at the (now modernized) FBO. The Tift Myers VOR (IFM) is also named after him. But you said GA history, rather than military.
KPDK - Peachtree De Kalb (Atlanta) - Of all the airports that I visit, I hate this one the most. It's a Tenerife accident just waiting to happen. Notwithstanding, it has a very active airport management staff (to bust you for noise) and appeared to have a building full of old stuff that hasn't been thrown out in decades. Insofar as PDK is now a megalopolous airport-from-hell, its rise is probably an interesting story. On the plus side, it has one of the best old-style airport restaurants in the south. (The Downwind Restaurant.)
Don't DARE arrive after 11 p.m., or you'll be beaten, gagged, beaten again, and taken to Noise Police hearquarters for further beating and gagging. (If I've scared you away, you can always just visit us here at KLZU, far more friendly, and drive to PDK. About a 30 min drive if you avoid rush hour.) If you're in search of history though, I'd bet there's lots of it there.
KGKT - Gatlinburg, TN -- I went there on the day of an airshow, and had a great time. Wonderful people. I'm not sure how much history, per se, is there, but it's certainly worth a visit. Still has some memorabilia hanging around. I think it had a museum on the field. Call them for more info.
KFRG - Farmingdale/Republic, NY - I grew up on Long Island, so maybe I'm partial. Again, this might border on military history, but you can't ignore Long Island's status as "The Cradle of Aviation." FRG has one of those bomber wing restaurants with some memorabilia. There's a college flight program based there (SUNY Farmingdale) where you can probably dig up lots of it. I Googled up an article on it:
http://www.babylonbeacon.com/News/2003/1024/Front_Page/006.html
Hope it helps.