Hollywood Connection: Francis Ford Coppola (father)
Sofia Coppola, daughter of film director Francis Ford Coppola of The Godfather fame, is likely one of the more established names that you are going to find on this list. She is right off of a win for Best Director at the Cannes Film Festival for The Beguiled, which I found to be a wonderful period piece (see my review here). Her filmography also includes such modern classics as Lost in Translation. In my opinion, she is beginning to establish herself as a contemporary auteur.
Hollywood Connection: Francis Ford Coppola (husband)
From the same family as the aforementioned Sofia, Eleanor Coppola first debuted with the documentary Hearts of Darkness, a behind-the-scenes look at one of her husband's films, Apocalypse Now. The documentary proved to be an effective chronicle of the filmmaking process that combined interviews and footage from the set (see my review here). Last year, her narrative debut Paris Can Wait toured the festival circuit before its release this summer. While some critics found it to be simple and underdeveloped, I found it to be a quite refreshing comedy (see my review here).
Hollywood Connection: Ridley Scott (father)
Luke Scott made his feature debut with 2016's Morgan, a film which I still have yet to see, but was met with general dislike from most. However, prior to this year's Alien: Covenant, a short film was released as a prologue to the film entitled Last Supper. I thought that this short film was quite good, but Ridley Scott's involvement is questionable. It's possible that that was more a work of his father than himself.
Hollywood Connection: Alfonso Cuarón (father)
Jonás Cuarón's first major film was Desierto, which was released a little under-the-radar in 2016 to mixed reviews. Still, it was submitted as Mexico's entry for the Academy Award for Best Foreign Film and I found it to be a tense, well-crafted thriller (read my review here). Apart from that, his only other major credit is co-writing Gravity with his father, which I found to be a little overrated. Time will tell what else he can do.
Hollywood Connection: Will Smith (father)
The only actor that I chose to include on this list, Jaden Smith is known mostly for collaborations with his father. His breakout in The Pursuit of Happiness actually wasn't bad. It's his later work that took him into meme territory. I'm not sure if it's his acting that is that bad or if it's just the fact that he hasn't been given another semi-decent role, but he is often laughable.