There's a little place hidden behind the new Goodwill/ Gym at the Y in Oak Hill called "Donn's" that's really good. My favorite, tho, if I have the time and patience is the Ironworks downtown.
Although not techinically in Austin, I really like Opie's out on highway 71 ~ 20 miles west of Austin. The Salt Lick out in Driftwood is also close to Austin. Both places I mentioned are BYOB so take a cooler and some craft brew!