There are no birth centers in the Atlanta area. In fact, the only birth center in all of Georgia is in Rincon, which is an hour outside of Savannah.
There is a birth center in Greenville, SC, and a couple of birth centers in Tennessee. If you are really looking for a birth center, it might be worth considering the drive to one of these. Greenville isn't that far.
There is always the homebirth option. There are several homebirth midwives in this area.
The most natural birth friendly hospital in the Atlanta area is North Fulton Regional Hospital in Roswell, with the midwives at Northpointe OB/GYN www.npobgyn.com they have a waterbirth option there.
It is, however, still a hospital, with hospital policies, and their backup obs are very traditional. I wouldn't call it "birth center-like" but as far as hospitals go it is OK.
Jumping in to say Congrats Michele! (We met at the GBN meetings, in case you don't remember me) So glad you had the homebirth that you wanted!
To the OP, www.gabirthnetwork.com is a great resource for finding birth professionals and learning about birth options in GA. They host monthly meetings for expecting moms and you can learn a lot about different practices, homebirth, etc.
I wanted to say that I have had two babies at N. Fulton with Margaret Strickhouser and IME it can be "birth center like" if you make it that way. I had a totally natural birth, labored in the water, no interventions except intermittment monitoring, no "normal" newborn procedures, etc.
I don't think I would ever be comfortable with a home birth so N. Fulton was a great choice for us. BTW I have also had babies at Kennestone and Northside. There is no comparison as far as "birth center likeness."
I wanted to chime in for N. Fulton and the midwives at Northpointe. I just had a natural vbac there with Ann (Margaret was out of town!) and it was awesome! The hospital is ok, as far as hospitals go, but I had exactly the birth experience I wanted. My labor nurse Laura was incredible and my doula, Theresa from Labor of Love, was an integral part to me having such a great experience.