Preheat grill over medium-high heat.
Place the meat in a bowl and add the cheese. Peel the onion and halve it, if using the medium onion. Grate about 3 to 4 tablespoons of onion directly over the meat into the bowl. Finely chop the remaining onion and reserve for topping. Add spices to meat: paprika, cumin and about 1 tablespoon of grill seasoning and/or some salt and pepper. Add garlic, parsley and Worcestershire and beer then form 4 large patties making them a little thinner at the center than at edges. Burgers plump when you cook them so this will prevent burger bulge. Drizzle a little olive oil over the burgers then grill about 4 minutes on each side for medium rare, 5 minutes on each side for medium and 6 to 7 minutes on each side for well done.
Mix mustard and sour cream with dill.
Serve patties on bun bottoms and top with lettuce, pickles, chopped raw onion. Slather bun tops with sauce and serve.