Blues City Cafe, across the street from BB King's Blues Club. Large place with live music, but it is more about the food then the blues. Bill Clinton and Tom Cruise are some of the more famous people who ate there.
The Beale Street was dilapidated in the 1970's, but with some city, state and private money, it was rescued from the gutter starting about 1983. It is now closed to car traffic (mostly), I am guessing that the many bars and cars did not mix well.
The ribs were very good, not sure if they are #1, as I only eaten them here, and I was also hungry.