Celibacy is part of Shaker doctrine, meaning that it could only spread through conversion; in this, it might be seen as a Christian sect with a death wish, or perhaps a precursor of the tree-hugging types who want radical reductions in the human population without resorting to war per se. I don't find it surprising that the old Shaker saying, "Live Simply, That Others May Simply Live" shares bumpers with other eco-goofball stickers.
The last of the male Shakers died circa 1960; at that time the dozen or two dozen female Shakers voted to "close the Covenant" --which means there would be no new Shakers. There can't be a sect without both male and female, and with no male Shaker to teach the new male Shakers, there can be no new female Shakers, either.
One of the other supposedly celibate cults was the House of David, which was founded, and largely resident, in Michigan, perhaps an hour's drive from here. It was founded by a married couple, and the original home of the cult was a pair of essentially identical houses, side by side, with an upper-storey bridge between them (still standing the only time I was there, about ten years ago). The men lived in one side, the women in the other.
One may wonder, "why the bridge?" The male founder of the sect was banging the young female converts, while the female founder lived in a blissful state of denial. She finally woke up, and led a schism in the House of David ("Israelite House of David, as Re-Organized by Mary Purnell") which I believe persists, consisting of surviving members living off the endowment. Mary Purnell herself was interred in an above-ground sarcophagus, sitting up, so that when the Trumpet sounds, she can stand up and exit. Not makin' this up. The house of the reorganized sect stands a little way up the road from the original double house. The HQ of the original sect stands across the street.
Israelite House of David:
http://www.israelitehouseofdavid.org/
Israelite House of David as Reorganized:
http://www.maryscityofdavid.org/
Whoops. The sect was founded in Ohio, but moved to Benton Harbor the following year.
Ah, yes. Shakers. Plan obsolence taken to its extreme application. Much like Liberalism. :-)