There are a couple of schools around the world targeted at men, or women...
One very interesting thing, is that schools targeted at women are seem as "traditional" and "bastions" or "empowering", specially if they are ancient and do have good education...
Men schools, once regarded in the same way, are now being attacked, one of the best schools in the US for example is being sued for not taking female students, and a common tag attached to them is "Backwards" or "medieval" or "inquisitors"
If this was a US-only phenomenon, at least I would feel less troubled, except even in Brazil we had a crazy problem...
During the government ranking of high schools (that is made with a test that all high schools students in the country must take if they wish to join university), the first place was a boys-only school.
This is a problem, because it drew attention to them, now there are all sorts of discrimination lawsuits from parents of girls, and the media is bellowing how "less worse" they are, because they accept female teachers, and that when they did not accepted them they were evil, and now that they do they are less evil, but that this would be only a truly good school when they start accepting girls and change some of their authoritarian ways and become more tolerating and egalitarian.
Or some issue with bars... Female only bars in Brazil are allowed and seen as a female fun thing. Male only bars get the cops quickly called on them for refusing entry of costumer based on gender. (Female-only are illegal too, but cops ignore it).
Or one even crazier, it is common to employers to want to hire one gender or other (for example they might want a woman to be the maintenance person of the women's bathroom), yet although signs of "hiring female x" don't attract problems, if you put a sign like "hiring male bathroom cleaner" you get quickly sued for hiring discrimination (that is illegal).
I even had a business owner once complain that a woman sued him (and almost won... a judge chance that allowed he win the case) for not hiring her as attendant in a store for male intimate clothing... The first judge saw it purely in the light of law: you cannot discriminate, period. the second judge had more common sense on his head and imaginated that it would bring even more legal problems to have a woman hanging around men that might want to become naked (or almost naked depending on store policy regarding trying intimate clothes) to choose his new clothes...