what are you looking for?
BBQ downtown probably Rendezvous unless you are a purist (cozy corner's open until 7 for the summer)
Encore for really good food for a decent price. Best cocktails in town.
Gus's for fried chicken (i love it).
Itta Bena above BB Kings for great atmosphere and adequate food.
Dyer's on beale is about the only place I'd eat. Maybe ribs at Blues City.
Many other average to bad places on Beale.