To my knowledge, Connecticut style steamed burgers are only found commercially in Connecticut, but thanks to the Internet, they have become a kind of thing elsewhere.
If you don't know what they are, here's a video that shows one of the burger joints making the burgers:
Basically they stuff the ground beef into miniature loaf pans which then go into the steamer. They do the cheese the same way, separately.
America's Test Kitchen (sorry, paywalled) has published a recipe that just puts the burgers straight on the steamer:
I plan to use washed out tuna cans for the cheese because the pouring of the cheese is pretty cool. But is there any good reason to open two more cans of tuna for the burgers themselves? I kind of don't see the point, but I don't want to miss any of this bizarre experience.