It's unfair to judge the EU piecewise but then judge the US as a whole. Either let us compare apples to apples by judging the whole EU against the US or let us judge individual European member states against individual US states.
Ugh. This. Not just for healthcare though, for everything. Using small wealthy countries with populations smaller than our states as a comparison against our continent sized country is really not helping or proving anything.
I don't know which countries you're talking about. Sweden has a population of 10m, which would make it the 10th largest US state. Norway's 5.5m people would make it the 23rd largest.
Even if we go really small and rich, Luxembourg's population is 670k - that's more than Washington DC (not a state, I know), Vermont, and Wyoming.
The only really wealthy European country that's smaller than a US state is Iceland.