I’m not sure there are any established religions that actually oppose vaccination.
The Christian Scientists are ambivalent:
For more than a century, our denomination has counseled respect for public health authorities and conscientious obedience to the laws of the land, including those requiring vaccination. Christian Scientists report suspected communicable disease, obey quarantines, and strive to cooperate with measures considered necessary by public health officials. We see this as a matter of basic Golden Rule ethics and New Testament love.
As for the issue of exemptions for vaccination in the law, Christian Scientists’ perspective on this issue may be unique. In the past, many public officials have been broadly supportive of exemptions when these have not been considered a danger to the wider community. In more recent years, public health concerns relating to vaccinations have risen as exemptions from them have been claimed by larger numbers. Christian Scientists recognize the seriousness of these concerns.
Most of our church members normally rely on prayer for healing. It’s a deeply considered spiritual practice and way of life that has meant a lot to us over the years. So we’ve appreciated vaccination exemptions and sought to use them conscientiously and responsibly, when they have been granted.
There have been a lot of cases in the news recently about groups of Orthodox Jews avoiding vaccines, but that’s not because there’s anything in Judaism against vaccines, it’s just been cases of a somewhat isolated community not trusting outsiders.
Seventh Day Adventists avoid blood transfusions, but they are apparently okay with vaccination
https://www.adventistreview.org/2106-40
an article in the December 18, 2020, edition of the Adventist Review entitled “COVID-19 Vaccines: Addressing Concerns, Offering Counsel.”4 The church’s official declaration on immunization “places strong emphasis on health and well-being. The Adventist health emphasis is based on biblical revelation, the inspired writings of E. G. White (cofounder of the church), and on peer-reviewed scientific literature.” A “responsible” attitude to immunization/vaccination is urged, advising that “no religious or faith-based reason” exists for avoiding “protective and preventive immunization programs.” The statement goes on to emphasize both the importance of community health and of individual conscience: “We value the health and safety of the population, which includes the maintenance of ‘herd immunity.’
I think the religious thing is something of a red herring. I think the people who have legitimate reasons to avoid the vaccine are mostly people who either have an allergy or who had a bad reaction to their first dose. I know a couple of people in that category. One had an ordinary allergic reaction. The other one suffered debilitating dizziness for weeks after vaccination, and even if it was just a weird coincidence, I don’t want to be the person forcing him to try it again.
