Is that a "no"?

You made a clear, unambiguous statement. In reality, the healthcare, education, and transport systems of many European countries are fully or partially publicly controlled, and rank highly for many indicators. This seems to directly contradict your statement.

Do you know the meaning of the word "globally"? It seems like you don't. Globally means "the whole world". You take the countries of the whole world where the government provides "free education" (or more precisely - involuntary indoctrination), which is all of them. Count the countries where it's total shit, count the countries where it's "ok" and also count the countries where it's great. Then you'll see that 80-90% is shit and maybe 2-3 is great. My definition for great is to have obsoleted private schools. Yeah, that's probably Finland and maybe, just maybe Switzerland.

And yeah, you can still lay on your laurels of 5-10 European countries that actually do still provide "ok" education for free, but it's deteriorating so rapidly, that it'll be worse than what we had in Eastern Europe in the 80ies and 90ies in a few years.

Edit: And BTW, the same counts for the other pillars of "socialism" - healthcare, public transportation etc. Show me the countries where government services have obsoleted private healthcare, private cars etc. And no, don't show me countries where they have forbidden them (like Denmark basically forbids private cars) and you'll see that indeed, there is no place on Earth where socialism works.

Like I thought, you it does seem that you actually don't have have any interesting data to back up your statement so I guess we can draw a line under that discussion.