The US has extensive public healthcare. Medicare and Medicaid are huge programs. I realize there is a fair chance that you mean some baseline universal care, but imprecise terms make the conversation more difficult.
Large corporations are also hilariously micro-socialist in the way health care is provided to workers (partly by government rule, partly because they hire productive workers and can afford to compete with benefits).
Edit: The ACA (Obamacare) was also a big step towards universal care. The funding/payment model is messy, but all someone needs to do in the US to get health coverage now is apply for it and make payments, they don't have to hope they get accepted by the insurance company (and I guess it is also much harder to drop coverage).
My notion of "public healthcare" is being able to walk into a government clinic or hospital and get free treatment or appointments as long as you show you're a citizen -- sorry for not having cleared that up.
I personally do like the single-payer approach, where you get coverage on a no-fee basis purely by showing you're a citizen/resident; and that's how it's done here in Denmark. But it's not the only way of providing universal care, even in Europe. Germany, Switzerland, and the Netherlands are typically considered to also have universal healthcare, but it's administered via health insurance, not as a single-payer model with direct state provision of services. There are various options for coverage, but having some baseline coverage is mandatory and intended to be universal (with subsidies for people who can't afford it), somewhat closer to the ACA model than to the Scandinavian or Canadian model.
I changed my original comment to "public universal healthcare". I once again apologize for the lack of clarity of the original comment, and I hope you understand what my point was.
Europeans visiting the states are genuinely worried that they will be carjacked, which I always find hilarious. Life is not like the movies or the news.
Large corporations are also hilariously micro-socialist in the way health care is provided to workers (partly by government rule, partly because they hire productive workers and can afford to compete with benefits).
Edit: The ACA (Obamacare) was also a big step towards universal care. The funding/payment model is messy, but all someone needs to do in the US to get health coverage now is apply for it and make payments, they don't have to hope they get accepted by the insurance company (and I guess it is also much harder to drop coverage).