The system we use in Canada is one such system. Now it is far from perfect (We are ranked 30, USA is 37
http://www.photius.com/rankings/healthranks.html), but we do have guaranteed health care for EVERYONE. We are currently looking at a combination of private and public health care, but it is a slow and resistant road. Our wait lists are longer, for sure, but as a physician I can tell you, if I feel someone needs a test urgently, they can get it within a week or two, if an emergency they get the test and see a specialist THAT DAY!
As a US citizen living and working in Canada, I have to vent a little bit about the system as I experienced it last week. I had "a warning sign" of a heart condition. My preference (being a male) would be to ignore it and hope it would go away (which of course it did). But my new wife (a registered nurse) said that I should consult a doctor about the sign, and thus began my battle with the Canadian health care system.
I telephoned my doctor's office. "He's going on holiday next week," they said. (Many Canadians use the word "holiday" when they mean "vacation," although they also confusingly use the word "vacation" too.) "Can you stop by this afternoon?" I replied that I would drive there right away, and the office said that would be fine.
Unforgivably, I had to drive MYSELF to my doctor's office.
Once I got there, I had to wait in line, just like at the Department of Motor Vehicles. True, there was only one person ahead of me, but it's the principle of the thing.
To the disgrace of everyone, I did not have to pay any deductible or co-pay. My health card (previously on file) was all I needed... and the staff didn't even need to verify the card. Shoot, I could have been ANYONE. Couldn't they make me fill out a stack of forms to be sure I was who I said I was?
I was escorted to an examination room after waiting five minutes of MY VALUABLE TIME in the waiting room. I had to wait another five minutes before the doctor actually came waltzing in the door. (I passed the time reading a year-old article from Reader's Digest, since my doctor did not have the good sense to put eight-year-old copies of Field and Stream in the waiting room.)
I got examined and various tests were ordered, tests that my wife said seemed to be appropriate. A follow-up visit was arranged on the spot. The whole incident, from telephone call to return to my office, took about an hour, which was, of course, infuriating. What is the point of going to the doctor if you can't take a break from actually working?? And by NOT requiring a co-pay or other out-of-pocket outlay, I was left with more money in my wallet to buy junk food, which would damage my health EVEN MORE!
The horror stories never stop.
Now for anyone who has read the above and does not recognize the sarcasm, let me say that the events and time durations are indeed true. My experience was far from being horrible. It may be (and probably is) an atypical experience, in that the doctor had a convenient opening and I was able to take it. In no way does this single incident suggest that the Canadian system is superior to any other system; but by the same token, the horror stories being told in the US about the Canadian system are even more atypical (and besides, in a horror-story contest, the US easily beats Canada).
I watch the US health care discussions with interest. Personally, I'd like to see the US adopt a system that is NOT like Canada's but that is BETTER THAN Canada's. It can be done, and the US is in a position to do it; but the US has to get past the ignorance and fear that seems to grip a significant number of citizens.
Curiously, in Canada, people see access to basic health care as a human right. The curious part is that people in the US largely do not see any degree of health care in that light, and in an extreme case, the so-called "pro-life" people generally tend to be adamantly opposed to treating access to basic health care as a human right.