I think education is actually case where the free market would solve a lot of issues. Making schools compete for students would incentivise schools to provide a more valuable education.
I mean real world education, such as how their body works, how to navigate society, critical thinking, cognitive biases, how probability works. If humanity is to survive we need to move away from empiricism and dogma, we need to move towards an educational system where kids grow into rational adults.
The competition should be the grades attained by the students or their entry into higher education/vocational training. Not value on the stock market or the directors total comp.
Measuring pupil attainment is harder than comparing share prices, but it's certainly better for society.