Maybe nitpicking here, but healthcare is not financed with your taxes in Germany - it's financed by statutory health insurance (SHI) and private health insurance (PHI). The State "simply" sets the framework/legislation/etc. so that it doesn't get wild (like probably it is in the USA). [0]

In Italy it's the state/regions that take your taxes and pay the health system.

[0]: https://www.bundesgesundheitsministerium.de/fileadmin/Dateie...