At least in the US, there is no "our" health care system.

My employer and I pay about $500 / month in premiums for just me. My insurance company has made contractual agreements with the vast majority of health care providers (they've become more and more consolidated over the years) to provide service to their CUSTOMERS. On top of that, most Americans now have thousands of dollars in deductibles which are used to directly subsidize Obamacare recipients.

But you're right, we should expect people to "take basic care of themselves" if they want to freeload on MY health care system. So along with those who are unvaccinated, let's toss out:

* homosexual men. The rates of infectious diseases, including HIV which has a 100% fatality rate, are off the charts due to their very promiscuous lifestyles. Do you know the number of sexual partners an average gay man in the US has by middle age? It's shocking...

* Young black men. Lifetime chances of using ER services due to violence are so high, it'd make sense just to deny them outright.

* In fact, just deny all blacks in the US. After gay men, it turns out heterosexual black women are now the biggest carriers of HIV, and that is almost always caused by their choices (i.e. promiscuous lifestyles). On top of that, their obesity rates are so high that along with the fact they disproportionately freeload off the system (Medicaid, Obamacare subsidies, etc), our system would be improved drastically if we could cut that burden off.

* Undocumented immigrants. They rarely pay into the system. They tend to not use preventative care due to lack of insurance, thus they disproportionately use ER services which is a disadvantage to those of us like me who pay for the system.

I could go on, though I don't think you'd like who ends up being denied service because they "don't take basic care of themselves" and don't pay into the system.