Open since 1888 on the corner of East Houston and Ludlow Street, Katz's is synonymous with iconic New York City food, specifically, slow-cured pastrami and corned beef. There's usually a line filled with a mix of tourists, die-hard New Yorkers, and everyone in between, and the wait is nothing but proof of the stacked sandwiches' pure goodness. You receive a paper ticket when you walk in, order at the counter (be ready!), and wait while the servers sling layers of pink meat onto cafeteria trays. If pastrami on rye (or better yet, a hot reuben) is your kind of late-night food, then you're in luck -- Katz's is open all night on Fridays and Saturdays. Words to the wise: stock up on napkins, order a generous side of pickles, and whatever you do, don't lose your ticket.