IIRC White Castle was the one famous for that, and a reason their burgers were known as 'sliders' here in NJ.
Post-college bar hopping and clubbing, often a choice put up by someone in the group, either to go to a diner for some bacon, egg, and cheese on a kaiser roll sandwiches and some gravy cheese fries and a chocolate shake, or a 12-pack of White Castle burgers (they are tiny, like 2"x2" square) and whatever else they added, in order to help fend off the expected morning hangover...
In NJ many White Castle locations were open until 2am or later...back in those days. I have not eaten White Castle in like 25 yrs, and will likely avoid it in the future unless there is no other choice at the time. Not that they are 'bad' per se, but there are much better options nowadays.
I too wish there was In-and-Out Burger here on the East Coast USA. A few years ago we got 'Smashburger' and 'Five Guys Burgers and Fries' showing up all around, but I never tried either.