Maggie Gyllenhaal and Jake Gyllenhaal are not just related by blood anymore. This year, they’re also connected through streaming. The two siblings have both separately become members of the Netflix machine, delivering two very distinct pieces of art this year.

As director and producer, Maggie Gyllenhaal takes on the world of a woman, obsessed with the dynamic of a young mother and her daughter, which prompts early memories of her experiences in the psychological drama “The Lost Daughter.” And as actor and producer, Jake Gyllenhaal stars a police dispatcher who receives a shocking 9-1-1 call in the American remake of the Danish film, “The Guilty.” Both are for the streaming behemoth.

In separate interviews with Variety’s Awards Circuit podcast, the two discuss their own experiences working on their films and the prospect of working together in the future — with the big sister at the helm. Jake Gyllenhaal...