Emma Stone and Jesse Plemons are hungry, wolfing down sandwiches at the start of our “Kinds of Kindness” interview. They’re in Cannes to promote the singular three-part anthology film, which has been well-received. They laugh a lot. She’s a Yorgos Lanthimos veteran, and just won her second Oscar embodying the free-spirited Bella Baxter in “Poor Things.” After that, it seems, nothing will faze her and she’ll do anything for her soulmate director. Announced at Cannes: Their next movie to be shot this summer, “Bugonia” (Focus Features), a remake of a Korean thriller, co-starring Plemons.

The 36-year-old one-time child actor is the new kid in town, joining such familiar faces as Stone, Margaret Qualley, and Willem Dafoe in the Lanthimos ensemble. When the “Fargo” and “Killers of the Flower Moon” star got the call from his agent, even before he read the “Kinds of Kindness” script, he said,...