North America
LA&M (Leather Archives & Museum)
The Leather Archives & Museum is a museum of Leather, kink, fetish, and BDSM history and culture.
WEB: https://leatherarchives.org
Museum of Sex
Museum of Sex produces exhibitions, publications, and programs that bring the best of the widest possible audiences and is committed to encouraging public enlightenment, discourse, and engagement.
WEB: https://www.museumofsex.com
Hollywood Erotic Museum
HCM deals with art which is erotic in nature.
WEB: https://theeroticmuseum.com
WEAM (World Erotic Art Museum)
World Erotic Art Museum is dedicated to fine erotic art.
WEB: https://www.weammuseum.com/
Erotic Heritage Museum
EHM is dedicated to the history of erotica.
WEB: https://www.eroticmuseumvegas.com
Europe
Sex Museum AMSTERDAM
SMA states it’s the first and oldest Sex Museum. This museum has paintings, erotic images, visual art, objects, and much more.
WEB: https://sexmuseumamsterdam.n
Museum of Eroticism
Museum of Eroticism permanently closed its doors but has a website. They were devoted to erotic art.
WEB: https://www.musee-erotisme.com
Erotic Art Museum (Hamburg)
Dedicated to erotic art.
WEB: http://www.eroticartmuseum.de
Sex Machine Museum
“Sex Machines Museum describes itself as "an exposition of mechanical erotic appliances, the purpose of which is to bring pleasure and allow extraordinary and unusual positions during intercourse.” (Wiki)
WEB: https://sexmachinesmuseum.com/gb/
Vagina Museum
The vagina museum is said to be the first world’s first brick and mortar museum about vaginas.
WEB: https://www.vaginamuseum.co.u
Penis Museum
The penis museum houses the world's largest display of penises and penile parts.
WEB: https://phallus.is/en/
Reference:
https://en.wikipedia.org