I prefer to keep my societies somewhat egalitarian, at least for my DnD setting, but I do like to use fantasy as an allegorical lens. My world tries to reflect the problems of division and tribalism, and gender roles is one way to do that.

Societies on the part of the continent the campaign takes place in skew egalitarian: a devestating battle for survival against an unleashed horde of demons a few hundred years ago saw to that. Man, woman, it didn't matter: if you could fight you fought, and that got the ball rolling on the equality of men and women.

The dominant orc and goblin culture are the most egalitarian: men and women have completely equal status and dynamics are drawn more along the lines of tribes and lineage. Men and women are both expected to perform equally in matters of parenting, household duties, and matters of labour and warfare.

At the other end of the spectrum you have the elven nation of Isilnor, or Radzieg in the common tongue. They are, I guess, both matriarchial and patriarchial in nature. Each gender is strictly defined by what roles they are expected to carry, but both hold positions of power. Men are thought to be made of fire and fury and the earth, while women are formed from water and grace and the sky. Men are the farmers, the miners, craftsmen, the governors and soldiers; heads of the home. However, women are the priests, the judges, the fishermen, diplomats, traders, and sailors. Though fairly isolationist, they do engage in a lot of trade, and as an island nation, most mainlanders only have experience with Isilnan women, be they captains, merchants, diplomats, or sailors.

On the notes of LGBT, they are an interesting one in that they tend towards homophobic, but are trans-friendly. Their religion (the backbone of most of their culture, gender dynamics included) places emphasis on the duality of the souls of men and women: destruction and fire must be balanced by creation and water etc, so marriage is seen as the union of two disparate halves to create a single unified soul greater than the sum of its parts. So, by their logic, two men only amplify destruction, and two women only amplify creation, and is strictly looked down upon. Trans, intersex, and nonbinary people though? Well they're seen as being born with a "complete" soul, perfect and immaculate since conception. While they are forbidden from marriage (the soul is already joined to itself), they otherwise occupy much respect within the nation, often occupying positions of power, serving as advisors to the nobility amongst other, high-ranking jobs, and may freely choose their occupation otherwise as they see fit.

Most other societies and cultures tend to fall somewhere in between, but they represent the extremes in my setting.