AK, AZ, ID, IN, KY, MI, MO, NC, OK, TN, UT, VA
Of those, the feds accept as an exemption to the NICS check at the point of purchase:
AK, AR, ID, MI, NC, UT
Edit: ALL THE INFORMATION ABOVE IS WRONG. LOOK BELOW AT THE SIXTH POST TO GET A MORE CORRECT LIST.
Philip Van Cleave, of VCDL informs me that Virginia is not on the exempt list because Virginia grants licenses to those convicted of misdemeanor domestic violence, and VCDL has fought hard to keep it that way. In other words, it has nothing to do with fingerprinting.
Accordingly, Georgia is simply on the wrong track on this issue. I would like to see the fingerprinting requirement removed from O.C.G.A. 16-11-129, at least for renewal applicants and possibly from first time applicants as well.