The traditional powers will play in the first couple of weeks of those seasons.
"I know that's a long time away, but the bottom line is you've got to have some of those things in place," McGarity said. "I think those are the kind of games you'd like to schedule periodically."
McGarity would like Georgia to play seven home games every season, but also wants to schedule a "big-time, traditional opponent" for a home-and-home series every 8-10 years.
Georgia and Clemson are already scheduled to play in 2013-14.
Georgia and Ohio State have played once before in the 1993 Citrus Bowl. The Bulldogs won, 21-14.