Turn fresh shrimp into burger-worthy patties after giving them a spin in a food processor and binding them together with breadcrumbs and mayonnaise. Serve with lettuce and tartar sauce on top.
Finely grind 2 burger buns in a food processor (1 1/2 cups crumbs) and transfer to a bowl. Pulse shrimp in processor, then toss with crumbs, mayonnaise, salt, and pepper. Form into 4 patties. Melt butter in a skillet and cook over medium, turning once, until cooked through, about 9 minutes. Serve on buns with lettuce and tartar sauce.