The NZ system is similar. GPs are subsidised (your primary health provider) but hospitals are run by the government and are free. The unfortunate thing is you have to go through the GP to get a referral to the Hospital (unless you go into A&E).

The other interesting system that NZ has is something called ACC which also pays for rehabilitation and loss of income when someone has an accident. If you are paralysed and can no longer work then ACC will pay you something like 80% of your income until you manage to find another job. That could be for the rest of your life.