Using Google Maps, you have to go through the following states to arrive New York from Georgia: South Carolina, North Carolina, Virginia, District of Columbia Maryland, Delaware and New Jersey.
Your fastest route with the usual traffic is via via I-95 N (13h 35min; 916 miles).
From Georgia, USA
Get on I-16 E in Treutlen County from GA-46 E - 39 min (34.9 mi)
Continue on I-16 E. Take I-95 N, NJ Tpke and I-95 to Holland Tunnel in Manhattan, New York - 12 h 46 min (880 mi)
Take Varick St, W Broadway, Duane St and Broadway to Steve Flanders Square - 6 min (0.9 mi)
Arrive New York, USA
See more detailed driving directions here.