With Hollywood’s labor disputes grinding on, and virtually all production stopped, anxiety began creeping into Zain Habboo’s house in Chevy Chase, Md.

She and her husband had recently finished the latest season of HBO’s “The Righteous Gemstones,” but now they were worried that new episodes of favorite shows like “The Handmaid’s Tale” would be significantly delayed.

What on earth were they going to watch?

Ms. Habboo, 49, quickly realized she had options. She might revisit classics like “30 Rock” and “Arrested Development” with her 17-year-old son. She could join him in watching a show he’s bingeing, like all 62 episodes of “Breaking Bad.” She has also never seen any of the “Mission Impossible” movies, and she has barely made a dent in the Oscar-nominated films from the past four or five years.

For many viewers, the writers’ and actors’ strikes in Hollywood will soon be felt in the form of altered film release schedules and prime-time lineups…