The second major issue is that they are a tool the state uses to indoctrinate children (naive by nature) with whatever the correct values of the day are. Prussia (where public schooling originated) needed obedient soldiers, modern-day Sweden needs a large underclass of socialists willing to support various hare-brained political schemes. The schools reflect this. What happens, for instance, if you call homosexuality "not normal"[1] in a Swedish school? It gets you an F in biology and a label as a "homophobe" in the state-run media[2]. One wonders what happened to students who questioned communism in the Soviet Union.
See "Deschooling society" by Ivan Illich, "Underground history of the American school system" by John Taylor Gatto.
[1] Which is surely true, statistically speaking.
[2] http://www.svt.se/nyheter/regionalt/abc/homofobi-gav-underka...