At the opening of his latest single “As It Was,” Harry Styles’ goddaughter gleefully urges: “Come on, Harry, we want to say ‘good night’ to you!” As it turns out, the singer has been keeping some elite bedtime storytelling skills as a trick up his sleeve. On the latest episode of CBeebies children’s series “Bedtime Stories,” Styles gets cozy in his pajamas to read Jess Hitchman’s In Every House, On Every Street before turning in.

“I love it here, I like to listen to music and read, hangout with my friends,...