People lined up for hot dogs at Nathan's Famous hot dog stand, circa 1955. By 1920, when the subway was extended out to Coney Island, Nathan's Famous was selling 75,000 hot dogs each weekend. Crowds outside Nathan's famous hot dog stand, circa 1955. They set to scarfing down Nathan's hot dogs, with the winner, James Mullen, eating 13 hot dogs in 12 minutes. The current Nathan's Famous hot dog eating champ is a one-man dynasty.