His writing has been endured for so long because Shakespeare writings provides common similarities of today´s modern world. Weather it be tragic,humorous,or even love any genre that Shakepeare provides is relatable.
Women: Kinder, Kurche, Kutcher (Children, Church, Kitchen). Maternal role highlited as one of nurturing the family. Men were to work and protect the family.
Youth: Hitler Youth, League of German Girls, other youth clubs designed to indoctrinate and control them from a young age to continue the nazi legacy. In school, new subjects like race studies introduced and other subjects were adapted to Nazi view e.g. Biology and PE concerned race and more emphasis was put on PE
German Jews: Laws made against them to discriminate e.g. The Nuremburg Laws (concerning citizenship and marriage)
Society in general: Censorship of the media, fear due to gestapo (secret police)
You can do some more research into these topics as this is just a brief overview