I don't really consider cheese a topping. It's part of the cheeseburger, and I would never order a burger that's not a cheeseburger. In order of preference for the cheese: provolone, pepper jack, jack, American. Unless the American is that Kraft individually wrapped slices of plastic garbage. I'm down to my fourth cheese choice and you want to give me that? Yeah, cancel that burger then. I'll just have a hot dog.
All burgers should have bacon on them. That's kinda why pigs were invented. But occasionally, I want pastrami on my burger, either in addition to or instead of bacon.
As far as condiments, I like one of the following. Fried Onions. Raw Onions. Roasted Red Pepper.
Finally, if the burger is so dry that I have to lubricate it, I will use mayo and tomato.