Ōoku: The Inner Chambers

In an alternative timeline of feudal Japan, a strange disease that only affects men has caused a massive reduction of male population, thus women have to pick up men's jobs, changing the social structure. Now, after 80 years of the initial outbreak and current man:woman ratio of 1:4, Japan has become completely matriarchal, with women holding important political positions and men being their consort. Only the most powerful woman -- head of Tokugawa shogunate -- can keep a harem of handsome yet unproductive men, known as "Ohoku."

Super sadly this is the only one of its kind