Granted, it's been almost 20 years since I lived in Athens, so I'm not familiar with all the latest bars/restaurants, but Last Resort has always been a good choice for lunch or dinner. In general, as you walk from the Arch (northern edge of Campus) and cross Broad Street, if you go right, that's frat bro territory, and if you go left, that's the more "alternative" area, culminating in the GA Theatre, 40 Watt Club and the Globe, close to the western edge of downtown. The Globe has a very 90s selection of import and craft beers (one of the few places you can get Fullers ESB on draught) @HenryJames along with terrible service and so-so food. Other places I've been lately - Creature Comforts tap room (NW downtown) and Trappeze Pub (west side as well).
If you're not afraid to branch out a little, Athens' other brewery, Akademia, has great food and a chill atmosphere, but it's far from campus, near the mall.