Other countries are slipping, though. For example, Germany does not actually have a single-payer system, but instead a "system" of public and private health insurance companies. As an employee you`re usually in the public system, which can be more expensive for higher-earners because the fees are based on your income (although the health taxes are regressive, capped above like 65K income per year). Self-employed people are often in the private system, and higher income earners can also opt into the private system.

The problem is you can´t easily opt back into the public system once you´re out (especially once you´re old), so there are tens of thousands (if not hundreds), that get stuck in the private system without being able to pay the fees because they´ve become poor (possibly because of health reasons), and then they get denied coverage and thus access to medical services.

Immigrants can fall through the cracks in the over-complicated system as well.

The problem is not as insane as in the US, happens "at the fringes", but it still affects thousands and is mostly outside of the perception of society, since everybody just assumes they got the best system in the world.