I think this would be highly variable from parent to parent. I think it's also not easily defined in a concise fashion - you'll have people give you an answer of "civil rights" or "freedom" and they can mean almost opposites for different people when you did into the details. I'm not sure that will be useful to you or anyone else.

That said... I want a school with a reasonably good rating (indicating that other kids/parents care), that is safe (again, tied to general parental oversight of their kids), not overbearing by having well thoughtout policies (for example, blacklist foods in the classroom where people are seriously allergic to it as opposed to having a whitelist of approved snacks that exclude entire groups of food), is more about education than indoctrination, and has an overall environment that will facilitate learning (very open ended and subjective).