How much taxes you pay that cover these things?
Most economic analyses I've seen suggest that the average UK taxpayer pays less towards the NHS in taxes and NI than the average American does in insurance premiums. America has the highest spend per capita on healthcare of any G7 country, and on demographic measures like life expectancy, maternal mortality, infant mortality, has some of the worst outcomes.
The NHS has its flaws (late cancer diagnosis for instance - our cancer outcomes are worse than nearby western European nations) but I'd take it over the US any day.
(And I'm currently something of a frequent flyer - week in hospital with acute gall bladder, then elective gall bladder removal in the last year, last week was in A&E - ER to you - with DS's rugby concussion. All without ever having to worry about co-pays, maxing out my insurance, pre-existing conditions invalidating my insurance. It's slow, ponderous, clunky and a bit run down, but it's still damn impressive.)