Some (fairly major) golf clubs don't let women play on their courses[1]. Plenty of people think women should not be allowed in combat roles in the armed forces[2]. I could continue...
[1] http://www.telegraph.co.uk/women/womens-politics/10186258/Go...
[2] http://www.usnews.com/debate-club/should-women-be-allowed-to...
It would be pretty easy to cite circumstances when women are excluded and men are excluded. For example, there are men's only colleges and women's only colleges, and the number of women's only institutions of higher education greatly outnumber the number of men's only institutions (The only one I can think of is Hampden Sydney in Virginia).
Personally, I'm very anti-gender binary, so my purpose of commenting here is that it is intellectually dishonest to cite examples where women are excluded and conveniently omit examples where men are excluded.
Actually those clubs don't let women become members of the club, but they do let them play on the course. (Specifically, Muirfield does.) Or in some cases (I'm not sure if it's a nonzero number now that the R&A golf club has had its vote) they don't own the course.