The Australian system provides good quality medical care free at the point of use for those who need it. It also pretty much forces (certainly encourages) those who can afford private insurance to have it and use the private system where they can.Well, it's always more complicated than that. Many people don't have employers, and that's not just layabouts, it includes children, OAPs and those living in areas of low employment opportunities. I probably fall more into the non-socialist side of politics (Genghis was a commie), but I don't mind paying extra to give everyone access to medical treatment without having to worry about the cost. I keep in mind that wedges have thin ends and slopes can be slippery.
Even my employers' health plans weren't worth much to me because the things I knew I'd need treatment for were excluded because I'd already had them. (I started early in the injury and disease collection business and have a diverse portfolio)
Some might call accessing private care when you can afford it queue jumping, but actually it significantly reduces queues in the public system too. And the involvement of the private sector in the delivery of primary care, imaging, pathology etc significantly improves availability.
Having just spent a month in the UK helping my 88 year old mother through surgery, I was gobsmacked how hard it it is to access health services in the UK.