Modular buildings tick all your requirements and are ubiquitous in the US.
There are technical (aka, legal) differences between “modular building”, “mobile home”, “trailer”, “motor home”, and “recreational vehicle”.
“Manufactured home” is a trade association term and useful because a manufacturer might build both modular homes and mobile homes on the same assembly line and they may even be hard to tell apart because most of the difference is in the paperwork.
There are technical (aka, legal) differences between “modular building”, “mobile home”, “trailer”, “motor home”, and “recreational vehicle”.
“Manufactured home” is a trade association term and useful because a manufacturer might build both modular homes and mobile homes on the same assembly line and they may even be hard to tell apart because most of the difference is in the paperwork.
As I said there’s a legal layer.