I was watching pro golf coverage on the news and it seems so odd that men and women compete separately - same goes with pro bowling. Just seems weird to me that a game of skill is gendered when you can’t even raise an argument that someone might have an advantage because of what’s between their legs.
I mean, gender is a social construct so I’d really say that everything is unnecessarily gendered because gender itself and gender norms are not necessary.
But if that’s not quite what you were looking for - then probably language. As a French man, it is my duty to trash on French so, French has gendered nouns so any object you know has a gender associated for some awful reason. Some job titles don’t have female equivalent and don’t even get me started on trying to speak or write in a gender neutral fashion in French, ugh! (I still do it to the best of my efforts and encourage others to try to use French in a gender neutral fashion but it is hard)
Slovak and Czech too (definitely even more languages). Both languages have all nouns, adjectives, numerals AND verbs gendered. You could theoretically refer to a non-binary person as a you (in plural form) - that is however used mainly for speaking/referring to someone more respectable. Then you have the they form, which is not recommended to be used in singular due to it being used during feudalism to refer to the aristocracy), and then it (which is terrible too, as it seems like you are speaking to an item, not a human being). If you want to invent a different pronoun, good luck with making it not sound weird, as we use 7 grammatical cases and declension; in general, the grammar is incredibly complex.