In addition to "There Will Come Soft Rains" we have short stories like Stephen Vincent Benét’s "By the Waters of Babylon."
In that story, society has been bombed back to the stone age. Even religion is a stone age recreation. Something like hot and cold running water seems like it must come from gods’ magic.
This short story was particularly meaningful for me when I read it in school. I lived the same distance from New York City as the protagonist. And this was during the last days of the Soviet Union, which had placed my small hometown on its top 10 places to bomb list.
In Walter M. Miller Jr.'s book A Canticle for Liebowitz, we’re back in society that's recreating itself, with the Catholic Church acting as a centralizing force again, as after the fall of Rome and European plagues. Monks discover, collect, copy, and maintain shreds of texts.
Apart from increasing society-level anxiety, that focus on the dramatization of nuclear war is considered to have turned people away from nuclear power. Imagine the different potential outcomes had our authors not been so talented. You can go back to Plato’s Republic for explanations of why sad music, for example, is bad for society. But maybe the real effect was on swaying public opinion, protest movements, regulations, and where people choose to focus their productive talents.