The whole story of the most famous burger in town can be found here. I knew that the bar that invented it is disputed, but I was always told it was Matt's Bar, right by my old high school. I didn't try the damn thing until I had out of town guests (this was pre-veg, of course), and all I remember is that the entire first layer of my tongue and the roof of my mouth were burned off by the molten cheese inside the burger.
Well, since vegan cheese typically doesn't melt at all, I felt safe. I even dusted off the ol' George Foreman for this. It's easy. Gimme Lean hamburger made into two patties. One slab of Teese cheddar in the middle. Pinch it all around to seal in the cheeze, and throw it on the grill. Really fast and easy.
And, I was right. No molten cheeze. Just hot and yummy. And all the fixins.