If you like a smoother texture, roughly chop the shrimp in a food processor, but be careful not to purée it. Alternatively, finely chop the shrimp by hand.
In a large mixing bowl, combine the chopped shrimp, breadcrumbs, mayonnaise, Dijon mustard, lemon juice, garlic powder, paprika, salt, and pepper. Mix well until all ingredients are evenly combined.
Divide the shrimp mixture into four equal portions and shape each portion into a patty that fits the size of your burger buns.
Preheat the grill or skillet over medium-high heat. Lightly oil the grill or skillet to prevent sticking if necessary.
Cook the shrimp patties for about 4-5 minutes on each side, or until they are cooked through and golden brown.
Toast the burger buns on the grill or in a toaster for 1-2 minutes, until lightly crispy.
Assemble the shrimp burgers by placing each patty on a toasted bun, topped with lettuce, tomato, and any optional toppings of your choice.