I think the lessons I remember best (I can read, write, add up... stuff like that) are the ones I learnt early and had to use over and over in a way that was (and is) actually useful. I'm not sure how many of them I learned in school and how many from my mother though. You're probably right that "in school" is not the best place to learn these sorts of lessons.

From my early schooling I think the lesson most obviously learned in school was "how to go to the same place every morning and stay there doing as instructed for some hours" also "how to sit quietly" and "how to work with people I didn't like". These lessons have proved valuable in "keeping a job" also for not disturbing people when attending plays, concerts, lectures and so forth. Being forced to conform is, I think, a bad thing; but being unable to conform might be inconvenient later. No reason that this has to be taught in a school though.

When I was older I found school a place that had useful things like teachers who knew stuff and answered questions and a library of books that were interesting. Home can be like that too of course.