Anya Taylor-Joy is about to get Lucky — so is Apple TV+, for that matter.

The Apple streaming service has acquired the rights to “Lucky,” a new limited series that will star Taylor-Joy and be executive produced by Reese Witherspoon’s Hello Sunshine banner.

“Lucky” is based on a New York Times-bestselling novel — and an entry in Reese’s Book Club — by Marissa Stapley. It tells the story of a young woman who left behind the life of crime she was raised in years ago, but must now embrace her darker, criminal side one final time in a desperate attempt to escape her past. So that’s Taylor-Joy’s mission.

Jonathan Tropper, who was behind “See” for Apple Studios, and Cassie Pappas, who works on Apple’s “Silo,” are co-showrunning “Lucky,” with Tropper writing and executive producing. Witherspoon will also executive produce alongside Lauren Neustadter for Hello Sunshine, and Taylor-Joy will...