There are other places that come close to those. For example, the ancient Greeks had LGBT acceptance, as ordained by the gods, albeit from a very male-centric point of view. Nevertheless, Iroquois history is what you'll find fulfills that, and as someone who has been exposed to their culture for a while, I can offer a bit of insight.

The rulers, which always ruled in consensus groups of five or six, were always male, as was three out of four of the founders of their government (Deganawida, Hiawatha, Atotarho, and Jigonsasee who was the female whose idea it was), but the voters (because it was a democracy that surpassed any other democratically) were always female, and most rights centered around us, including divorce (a woman could simply walk out of a household if she wanted), and goddesses took center stage.

They even went so far as to say civilization was founded once before Deganawida founded it, by a female founder called Godasiyo, but her pet doggo caused a civil war as doggos do, and after her last ditch attempts at saving the kingdom failed, she turned into a fish in shame.