Cheeburger Cheeburger is a franchise of burger restaurants with chains throughout the United States. The restaurant keeps a retro atmosphere and offers a menu that includes hamburgers, cheeseburgers, chicken sandwiches, onion rings and shakes. Burgers are made using all-natural Angus beef. Diners are offered an eclectic selection of more than 25 toppings for their burger or sandwich, including onions, guacamole, pepperoni, peppers, teriyaki sauce, artichoke hearts and Grey Poupon. Kids' menus, salads and other meal options such as melts and veggie burgers are available. The Holmdel location takes online orders.