Good point about American Cheese. It's so 'nothing' that the tiny bit of flavor added by one thin slice, doesn't do harm to less-than-great burger meat.American cheese is the standard and rarely is another cheese appropriate due to the flavor and melting capabilities.
Bacon is a decent topping. The picture posted looks like the Tony's BLT in Birch Run, Michigan, with 1 pound of bacon per sandwich.
Neither burger pictured speaks to me, since I've come to "less is more" in my burger life.
Mayo is the preferred condiment. And some type of onion (raw, grilled, sautéed, caramelized) is virtually a must.
Mustard, if the profile fits. Ketchup for backyard burgers or dressed up for when Michael Symon's original Lolita burger fits the bill.
And the Oklahoma fried onion burger is a game changer. Simple to the point where the sum is better than the parts. I rarely deviate from this style in the kitchen at home (and I created the burger of the day for about 1.5 years at a tapas restaurant, so I have "chops").
As far as dressed-up burgers, my favorite is the mushroom provolone burger, but I think most of my enjoyment is just nostalgia, as we used to go out for them once a month when I lived in Denver and things were really great. I miss the friend I ate there with (Jackson's Hole) and being young and healthy with money and no ex-wife and child support yet...and Broncos and Nuggets season tickets when they both regularly made the playoffs.