“Polio, etc.”, is a hilarious way to abridge a list of length two.

The list is polio, smallpox. And technically polio isn’t completely eradicated, just very controlled.

Measles and rubella were also once declared eliminated in the US in the early 2000s. Parents who refused to vaccinate brought measles back.

We would like to eradicate it. Just like we’d like to eradicate the common cold and flu. The problem is that we have no reason to think we can do so, even if we force everyone to be vaccinated three times per year.

We force all hospital workers to get it. They have greatly improved outcomes. The more interesting studies show that the flu vaccines become really effective when both the patients and the health care workers are vaccinated at high rates. That’s the annoying thing about vaccines. They need high rates of adoption.

https://www.cdc.gov/flu/toolkit/long-term-care/why.htm

"Vaccines becoming really effective" is a far cry from eradication. There's still no reason to believe we can eradicate Covid in the foreseeable future.

Corona vaccines can't be too broad, or they become dangerous.

This is misinformation. Covid cannot be eradicated. Aside from animal hosts it will become endemic. So vaccination should be a choice since it will only affect your safety.