From Lila York:
https://www.huschblackwell.com/newsandinsights/50-state-update-on-pending-legislation-pertaining-to-employer-mandated-vaccinations#linktojump34
Some state governors have issued executive orders banning mandates, such as S. Carolina. Only two I can find have passed bills into law prohibiting mandates. Arkansas and Utah. Montana is close to a signed bill.