Plenty of institutions require vaccinations. The military typically does. Often one needs certain vaccines to obtain permission to travel to certain places. When I went to university (UK) I had to produce vaccination records (and I think I had to redo one because the records couldn’t be found), although I don’t recall reading what would happen if I hadn’t had the usual course of vaccinations. I think working in a hospital requires this (although I’ve heard stories of evidence being faked in some US hospitals) and yearly flu vaccinations are very strongly encouraged if not required (this is to stop staff from infecting patients more than the other way round), and a large proportion of the population works in healthcare.
