Considering that the only way to really test a vaccine is to give one group of people the vaccine, another group of people a placebo, and then expose both groups to the disease I think you can see why vaccines cannot be tested in the traditional sense. Doing so would be horribly unethical. Unless you would like to volunteer for a new HIV or Zika vaccine trial. No? Didn't think so. How about a rotavirus vaccine trial for you infant son/daughter? Still no? Darn.
However we do have mountains of evidence showing that vaccines do prevent the occurrence of a disease in a population of people. Ever wonder why there hasn't been a case of smallpox, arguably the deadliest disease humanity has ever known, since 1977 despite it plaguing our civilization for thousands of years? Its got nothing do with with eating more natural food or people getting exercise. The same goes for polio here in the states, and measles, and a bunch of other things that used to kill and cripple people all the time. Did you know that it was common practice not to name kids until they were about 5 as recently as the early 1900's? It was to try to avoid getting to attached to them while they were young because so many kids didn't make it to that age until the advent of vaccines against common childhood diseases.
Your flagrant disregard for ethical considerations and clearly established historical data that gets in the way of your world view sounds an awful lot like religion to me.