Things generally got better in any society as time marched on, so you will need to do more than just say we are better off than before 1919.
How about six modern ones. Mosuo, Minangkabau, Akan, Bribri, Garo, Nagovisi. The success of those societies is generally the level of success of female dominated societies.
Every society will have leaders.
Okay, so I clearly screwed up on society. I can accept that I was wrong about that... to a degree. Now to check your sources:
First thing I checked out was the Minangkabau, and while property is passed matrilineally, they're a conservative ethnic group that places women in charge of domestic affairs while men are in charge of political and religious leadership. I'm not sure I'd call that matriarchal, but that's just me. They also appear to be a wealthy and well-educated minority in SE Asia, so they're actually doing pretty well for themselves.
The Nagovisi is a single tribe in Indonesia, and men are still the breadwinners of society, while women are in charge of agriculture and taking care of the family. This power balance seems to have shifted further into the favor of women since the introduction of cash crops. Not some radical feminist apocalypse if you ask me.
The only non-linguistic source on the Akan I could find in the first page or two of results was Wikipedia, but considering they're ruled by kings, I would say this is just another society that passes possessions down matrilineally. That being said, they're clearly doing something right, given that they're the dominant ethnic group in Ghana, one of the more stable nations in Africa.
The Garo are another matrilinear society, but like the Minangkabau, women are mostly in charge of domestic duties. A simple, agricultural minority in India & friends. Nothing in particular notes it as a failure.
The first society I've looked up that actually struck me as having women actually dominant over men, the Mosuo are a small ethnic population in the mountains of China. Apparently, they have a concept that roughly translates to "walking marriages," where women may pick their partners at-will and couples do not live together. Sounds oddly familiar. They can provide for their basic needs, but anything like an education is prohibitively expensive. Not what I would call a successful society, but that's likely due to living in a resource-poor stretch of isolated mountains.
And finally, the Bribri. Another matrilinear culture, men have some jobs only they are allowed to do (shamans, taking care of funerary rites), same for women (...cacao?). Nothing particularly poor about them, besides the fact that they live in an area where indigenous people are usually poor.
Out of those six groups, two were fairly successful for their area, three were about average, and one was actually much less successful than their neighbors - but that was clearly on account of their ****ty land. If we're counting matrilinear societies as women-dominated, we might as well throw the Jews in since their identity as Jews is matrilinear. That brings the tally for successful groups up to three, by the currently established criteria for matriarchal societies. I'm not seeing much of a problem here, in all honesty.
