New Hampshire - Gilley's Diner After one bite of their double cheeseburger, you'll understand why Gilley's Diner won the award for best late night eats. Originally a mobile lunch cart, Gilley's was built in 1940 and hauled into Market Square every evening to serve burgers and hot dogs to workers late at night. Now a permanent institution, Gilley's Diner makes the best diner-styled burger in the state. Image Source: Instagram user mikewendt