BK, Have it Your Way. Stop by Burger King off State Rd 16 in historic St. Augustine and order one of your favorites. At this quick service restaurant they have an indoor dining room and a convenient drive thru window. Their large menu consists of a value menu, Flame-Broiled Burgers, Chicken Sandwiches, chicken tenders, salads, onion rings, French fries, desserts, a new breakfast menu and more. For your next meal, stop by Burger King and get it to go or dine in.