Name a top 10 educational system that isn't government....Norway = government, Japan = government, etc. You think that is bad to be kicking our ass?
Depends. 'Government run', is generally (in a broad context), worse than privately run education.
I think the first I should mention, is Poland has been one of the largest dramatic shifts in education outcomes, when the scrapped the publicly funded communist era model, in favor of a more free-market system. As a result, Poland went from being one of the lower education standards in the EU, to now being in the top ten.... and shockingly has the highest amount of privately educated students in the EU.
But there are exceptions even of a government run system.. If the government run system, is run as if it is a private education system... then it will have the results of a private education system.
The US system is highly fractured. K-12 education, is generally highly socialized and publicly run. And the K-12 education, is terrible. Just terrible.
Higher education, college and university level, is quite a bit less socialized, and as a result, we many of the best world class higher education institutions.
So while our socialized K-12 system compares very poorly internationally, our college and universities, compare very well internationally.
Even then, the move government funded the higher eduction institution is, the lower it performs internationally. Most of the highest reputation higher education institutions are all private. Harvard, Princeton, Yale.... so on.
So comparing the US, to another country is dubious, because you are mixing high performing private education systems, with terribly performing socialized education. Thus our capitalists based schools, end up making our socialized schools look good, when you mix them together.
Even so, you mention Japan. Are Japanese schools good? Yes they are. But then there is a reason.
First education beyond the basics isn't a right. It is something to be earned, and students are expected to earn it. Completely contrary to the left-wing argument popularized by Bush, that "no child should be left behind", Japan takes the exact opposite approach. Children are most definitely left behind, if they don't perform.
In fact, you are guaranteed nothing behind middle school. If you don't meet the entrance exams for high school..... you simply don't go to high school.
In the US, you have public schools with remedial classes for the basics of reading and writing and arithmetic, and public colleges and universities, have similar remedial courses for all the same.
Not so in Japan. If you can't pass the examine, for minimal basic education... you don't get a Pre-Math course 090.... you simply don't go to high school... you don't go to college.... you certainly don't go to university.
Moreover, Japan doesn't have a free education system either. You must pay to have your child educated. If you don't pay, then your child doesn't go to school.
Again, completely different than the 'free education for all' socialized system here in the US.
Many of the school systems you claim are government run, and yet in the top 10, are often highly capitalist. And even in those systems, private generally do better than public schools... in Norway, Finland, and so on.