I am not a pizza expert by any means. And I have not eaten much pizza recently, but I really do like Nancy's Pizza in Buckhead on Peachtree. I love their deep dish pizza. It is called Chicago style, but I have never eaten pizza in Chicago, so I don't know how Nancy's deep dish pizza compares with others.
It is a very small restaurant that replaced a Krispy Kreme Donut Shop when it went out of business. They also deliver.
I'll have to try everyone else's suggestions sometime, too.
I do love Mellow Mushroom pizza and Everybody's pizza since the 1960's.
Both used to just be whole in the wall type "joints." Especially Mellow Mushroom on Buford Highway with its old outdoor picnic tables and counter service with stools. It was a big deal when they built a screen porch around the picnic tables. But the I.R.S. built over it a long time ago. And Everybody's Pizza at Emory University on North Decatur Road used to have that great beer smelling, pizza joint smell back in the 60's.
Spilled beer, no air conditioning, hot nights of the 60's Summers. Where has the time gone?
Let me know what you think of Nancy's Chicago Style Pizza if you try their deep dish pizza. Especially the crust. I can usually only eat two slices of the medium because they are over an inch thick full of cheese and what ever else that you want to add.
