Peel shrimp, and devein, if desired; finely chop.
Combine shrimp and next 4 ingredients in a large bowl.
Add cornbread crumbs and next 5 ingredients, and stir until well blended.
Shape mixture into 6 patties. Place patties on a wax paper-filled baking sheet; cover and chill at least 2 hours.
Heat oil in large nonstick skillet over medium-high heat. Cook shrimp patties 4 minutes on each side or until golden. Drain on paper towels. Serve on hamburger buns with desired toppings.