In my area (Oregon), there are vaccine mandates for diptheria, tetanus, pertussis, polio, varicella (chickenpox), measles, mumps, rubella, hepatitis A/B, and hib (Haemophilus influenza B) that the vast majority of people have to get. In fact, I'd say they're more strict than the COVID vaccine "mandate" -- especially in a lot of states/areas not taking COVID seriously.

The standard mandates were largely the same when I grew up in Missouri/Iowa and I imagine they're similar across most of the US as a whole. If you don't get them, you can't e.g. go to school. I also had to get additional vaccines (tetanus, pneumococca, etc) in order to land some jobs over the years.

Requiring an additional vaccine doesn't really seem that different to all the others already mandated, IMO.