Polio was a dreadful disease that crippled or killed people. Smallpox is so deadly that it's been weaponized. Ebola can likely be mitigated by vaccines. The Bubonic Plague wiped out anywhere from 30-60% of Europe's population, and probably killed 100 million people.
No one is suggesting that the entire human race will be eradicated by diseases that can be prevented by vaccines. But there should be no question that vaccines, despite the handful of adverse effects, have spared millions of lives and a great deal of suffering.