Checking in from a Memphis Downtowner:

If you're an out of town visitor, go to Rendezvous or Corky's, They are both popular and world-famous for a reason. Also the best place to spot a celebrity. Rendezvous defines the standard for Dry ribs.

Locals from Memphis prefer Interstate BBQ or Central BBQ. My favorite rib place on Beale St. is Blues City Cafe (great tasting ribs and it's where Tom Cruise starred in "The Firm"), with a five-way tie for 2nd place.