The only deep dish i know of is Nancy's - I've only had it once and it was good, but not cooked through enough for me - maybe a fluke. For thin crust, I love Fritti - it's not inexpensive street vendor pizza, but it's thin crust and it's good.
I went to Nancy's and thought it was terrible. Not good like Chicago deep dish. Shorty's Pub serves a really great pizza, two locations one on North Druid Hills and the other near Tucker on Lawrenceville Hwy. It is thin crust. Fritti is very good also, as atlantanative said.