France has private supplementary insurance programs in addition to the state run health insurance program. A good corollary in the US is Medicare: everybody ov

France has private supplementary insurance programs in addition to the state run health insurance program. A good corollary in the US is Medicare: everybody over 65 can enroll in Medicare Part A for free, but you can also choose Part B, Part D, and "medigap" coverage, each of which is optional and has a monthly premium.