In Portugal, we have the national health insurance and the national health system, which is not terribly efficient and it has long waiting lists so it is advisable for people to have private health insurance, which is not expensive.
There are some very good private clinics and hospitals here in the major centers of Portugal. I have a health insurance policy for myself, for my wife, and my three children even though they are adults now. It costs me €200 (US $218 or £147) a month and it covers basically everything except dental.
(Logo for Pacific Prime, private medical insurance offered in Portugal, pictured.)