(I am focusing on the U.S; but posts about other countries are nice.)
Feminism is a social movement that got popular in the previous century; it is a movement that promotes gender equality?
Racial egalitarianism also got popular in the previous century; people were fed up with racial discrimination.
I think egalitarian movements could have easily became popular during this time; egalitarianism promotes the idea that all humans are equal, which is what most civil rights movements focused on; so how did explicitly-stated egalitarian movements manage to not get popular?
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If you’re from the USA, you can check out the history of IWW, or more recently the revolutionary movements of the second half of the 20th century (AIM, Black Panthers, MOVE, Young lords, Weather underground, etc). To this day egalitarian sentiment persists in revolutionary movements (such as on ZADs like Standing Rock) but there is no large scale organizing like there was in that day because:
If you’re from France, i would recommend doing some reading about early CGT history, or more recently about Mouvement des Travailleurs Arabes, Main d’Oeuvre Immigrée, Front Homosexuel d’Action Révolutionnaire, Action Directe… Or even more recently Movement de l’Immigration et des banlieues or the ZAD movement. While not exactly an organized movement, autonomous forces are still present in France especially during major riot times (2005 suburbs riots against police abuse, 2006 student riots against CPE law, gilets jaunes).