The two best healthcare systems in Europe are in Switzerland and the Netherlands. They went from nationalised to privatised. Nationalised healthcare systems tend to rank lower on the quality index.
And while the Swiss system is expensive, can you really put a price on your health? I'd rather have a good system (Switzerland) than a cheap system (UK).
The Swiss system is reasonable because there are government set limits on deductibles and co-pay. Insurance providers are also prohibited from discriminating based on previously existing conditions.
The services are also much cheaper than the US in general, even though Switzerland has some of the highest costs of living in the world. A routine visit at your doctor will cost at most a couple hundred dollars. Your deductible may be ~1000-2000 dollars and co-pay 10% up to ~7000 dollars after which your insurance must cover everything.
Swiss insurance will only cover you outside of your home canton up to twice the cost of having the procedure done in that canton, and only in emergencies. For that reason Swiss people are warned about needing emergency procedures in the US and Japan because it can bankrupt them.
And while the Swiss system is expensive, can you really put a price on your health? I'd rather have a good system (Switzerland) than a cheap system (UK).