I like the healthcare situation in Germany but normally you would have to wait months for a surgery, if it's not very critical. An appointment with a specialist can also mean waiting weeks or months.
A mixed system - government-managed for important things, with extra healthcare you can pay on top, like the one we have here in Uruguay, seems to work best.
As far as I can tell, we have the best healthcare for anything but special/rare cases which would be best served by a top specialist from the US or Germany. For the remaining 99% of cases it beats any system I know of.