Here is the supreme court primary holding:
A state may enact a compulsory vaccination law, since the legislature has the discretion to decide whether vaccination is the best way to prevent smallpox and protect public health. The legislature may exempt children from the law without violating the equal protection rights of adults if the law applies equally among adults.
I don’t think any legislatures have required vaccines.
Notice also it seems to be “state”….as opposed to nation.