If you're into fine dining, I'd pick Bacchanalia. That said, our zombie-infested city doesn't compare apparently to the fair-to-middling offerings in NYC or LA. So, consider yourself forewarned if you are jaded by eating at Daniel too much.
Next on my list would probably be Miller Union. Good stuff, but in kind of a west-side warehouse area where there's other stuff relatively close, but it gets zero for neighborhood-y feel.
Another option rcburli didn't include is Cakes and Ale in Decatur. Tiny place, great town-within-the-city in Decatur. Lots of other stuff nearby to grab a pre-dinner drink or just walk around.
And finally, I just keep enjoying Holeman and Finch across the board.
Serenbe is nice but it's a haul distance-wise out of town. Woodfire is over-rated/priced. Farm Burger (I've heard) is good, but it's a high-end burger place, so not sit-down, eat-your-burger-with-a-knife-and-fork kind of experience.
Out of dashes now.
999 Brady Ave Suite 106, Atlanta, GA 30318