Fat Matt’s Rib Shack is more than just a barbecue joint (though the ribs really are something special). It’s an unassuming, counter-service shack in Morningside with a blues-centric theme (there’s a mock Mt. Rushmore mural featuring legends like Muddy Waters and BB King, for example) and live blues every night. The ribs are smoky, fall-off-the-bone tender, charred, and smothered in Fat Matt’s signature sauce, which is reason enough to go. (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.