I am not wholly clear about the various organizations of health in various countries. Japan I looked up, and France I know something about. The British Health Service is state-owned (and the biggest employer in the country), but involves a great deal of private features (for instance, all the GPs are private contractors rather than State employees) and allows private practice alongside the public structure. There is at least one huge private health provider, BUPA, with its own hospitals and doctors. What I can say for certain is that in all European countries, wholly private medicine - as opposed to private features in the national health services - accounts for between a fourth and a fifth of health spending.