People talk about the Canadian system (horrible for Docs and patients) and the NHS (which 56% of Brits want eliminated). Few discuss the way the French do it, but it's worth thinking about.
Part 1 of Health Care Reform discusses the history French system, noting "They emphasize private, fee-for-service practice even more than we do." If you are interested in the topic, Synthstuff links all 4 parts of this essay, written by a Doc who likes the system.