Your objection also exclude all the traditional attenuated ("live") virus vaccines, in particular MRR[1] and the oral polio vaccine[2] and a few of the modern vaccines like "virus vector" [3].

[1] That is super safe, but the nurse ask if you or your family are taking inmunosupresants.

[2] That has other problems and is being phased out where possible.

[3] That has possible problems with the reuse of the vector.