Usually if you put pineapple on something it gets called Hawaiian.
IHOP and Denny's both have burgers with egg on em. Mix ;the egg with the meat before you cook it and it's called meat loaf
I like mixing stuff in the ground beef before grilling it...
Pepper Burgers - chopped peppers, onions, garlic and ground beef.
Ham Burgers - ground ham, ground beef.
Mushroom Burgers - mushrooms, onions, mozzarella cheese, and ground beef.
Hot Link Burgers - ground hot link, ground beef.
Onion Burger - Chopped onions and ground beef
I like making the patties really small and using fresh out of the oven brown and serve dinner rolls for buns. Kinda like sliders, only the idea is fresh baked bread for buns not the size.