You mean to say that Western and Central Europe don't exist? They have single-payer healthcare and it works way better than American healthcare. They have cheap tuition and it works way better than American tuition.
We see that America could be better if we stopped being dogmatic about capitalism, and stopped putting it where it doesn't belong. Capitalism is about money. It is not about well-being. It is very poorly suited for well-being.
I would say they are all capitalist countries. I cannot think of any European country after 1990 which prohibits private enterprise.
What you are referring to is still a capitalism, each with their own different taxation, social security and welfare system. You can argue which works better, which not. It is not that it does not exist in US at all, it is probably less developed or is just different. And European countries also differ between themselves, by large degree. But that is not socialism, it is still capitalism.