I don't know about the rest of the folks but for my part the best ribs in this area was from a place that unfortunately didn't stay around too long. The 2nd Street Rib Shack (where ALFA insurance is now) was by and far the best local ribs I have had and quite possibly the best I have ever eaten anywhere. It was owned, so I heard, by someone from Russellville who cooked them down at their home and brought them up in coolers and reheated them or finished cooking them here on their grille in the restaurant. Their sauce as well as the dry rub was impeccable. I do so miss them.
Another place I liked very well, also gone, was "Bad Bob's" which was located, also in Muscle Shoals, in the old Long John Silvers building on Woodward.
As for now .. I'm taking notes on this thread and making a list of places to try.