Fat Matt’s Rib Shack is more than just a barbecue joint, even though the ribs here really are something special. The unassuming, counter-serve in Morningside has a blues-centric theme, substantiated by the Mt. Rushmore-inspired mural featuring the faces of Muddy Waters and BB King, and live music every night. The smoky ribs are fall-off-the-bone tender, smothered in Fat Matt’s signature sauce, and best served with a side of macaroni and cheese. Although you can order the famous sauce -- and t-shirts and stickers -- from the website, the barbecue and blues experience has been drawing diners from across the country since the '90s.