Earlier quoted context omitted.
> (like we have for literally every single fatal illness) Smallpox. And if you consider within the borders of a given country, a dozen others (polio, measles, mumps, rubella, chickenpox).
Which countries have eliminated the latter 4? I would consider an illness "eradicated" if the vaccine is no longer regularly given. At least 10 years ago (when I was in the field), MMR and Chickenpox vaccines were still regularly administered in the US.
That's not how it works. Just because you don't see an outbreak for a while, that is never a reason to stop immunizing children. Pathogens can and do have natural reservoirs. This is why when some idiots stopped taking the Measles vaccines we had an outbreak here in the US.