Preheat oven to 400 degrees F.
Mash grits until smooth, if they are leftovers. Add melted butter, eggs, and evaporated milk. Then add 1 1/2 cups grated cheese, reserving 1/4 cup for the topping. Combine thoroughly. Add paprika and cayenne. Pour mixture into a buttered casserole. Bake for 25 to 30 minutes or until brown. Sprinkle with remaining grated cheese and more paprika. Return to oven and cook a few minutes more, until topping has melted.