One more thing: There are middle ways between free universal and privately funded health care systems.
In Switzerland, every person pays the same amount for his health insurance. Insurance companies are private enterprises. Poor people get a refund which is paid directly to the insurance company (otherwise it would probably be spent on booze, babes and cars). It works pretty well, however, the costs are on the rise, so there needs to be a strong mechanism to keep people from running to the doctor with every cold, expecting to get the best possible treatment for almost no money.

And as various others have said before me: It's bound to get more expensive with people getting older and with treatments getting more expensive.
My Master works in the research division of a Swiss pharmaceutical company, and according to him in the future drugs will become extremely accurate to deal with a specific health problem, but also extremely expensive.
For example, Roche has built a whole factory in Germany to produce one single drug that is very effective in treating breast cancer. Unfortunately, only about a third of breast cancer victims respond to this drug. I don't remember what he said what a treatment costs on average, but it was more than i earn in two years.
But then again, i'm heavily underpaid and work only part time