Herd immunity only happens when a critical mass of the population - >70% at a minimum - is given immunity by a vaccine.
This creates a population with a low enough R to guarantee that outbreaks die out, even if some people aren't vaccinated.
Even then it still doesn't guarantee personal immunity, because people in small clusters can still become infected. But instead of a national health emergency which threatens to overwhelm primary care, you get small localised individual/cluster outbreaks which are very much easier to handle.
I think you've got a selection bias there. Those illnesses are household names because they are/were so prevalent. But what of the illnesses that never became prevalent enough to become household names because populations developed immunity fast enough to suppress the spread?
I can't think of any.