Make the mince into four even size patties. Preheat the BBQ to high heat.
When its ready, lightly oil the plate and cook the patties for about 5 minutes each side, or until cooked through.
Meanwhile, melt butter in a large frypan over medium heat. Add onions and fry until soft. Remove the onions from the frypan, and crack the eggs in the same frypan over medium heat. Cook until the yolks are solid, turning over once. Remove eggs, and set aside. Place the bacon in the same frypan and fry until toasted. Remove the bacon, and turn the heat to high. Quickly fry the pineapple rings in the bacon fat till just until browned on each side.
To assemble the hamburgers: Put the bottom of the roll on a plate, and top with the lettuce leaf, then the mince pattie, a slice of cheese, a slice of bacon, one fried egg, fried onions, a few slices of beetroot, a slice of pineapple and a slice of tomato. Add tomoto sauce to the top of the bun. and place it on the top. Repeat with remaining burgers.