I've gone through some criticize vaccines sides; they main serious claim is, that there is no proper placebo, randomized, with accurate statistical power study,

I've gone through some criticize vaccines sides; they main serious claim is, that there is no proper placebo, randomized, with accurate statistical power study, which compare fully vaccinated children, according to, let's say, American calendar to unvaccinated (at all). Is that true, I think there, certainly, must be some records, even meta analysis perhaps?