The 16th century literary classic Journey to the West is the mother of all Chinese fantasy. The mythological saga has spawned countless adaptations in various media across Asia and beyond, from the cult late ‘70s Japanese TV series to Peking Opera, videogames, graphic novels and a stage spectacle with a score by Blur frontman Damon Albarn and design elements by Gorillaz illustrator Jamie Hewlett.

Prominent among the innumerable film versions is the 2013 blockbuster Journey to the West: Conquering the Demons, directed by Stephen Chow. A similar livewire action-comedy energy infuses Netflix’s The Monkey King, a children’s animated feature based on the sprawling novel’s most popular strand, on which Chow serves as executive producer.

Following well-received originals like Klaus, Over the Moon, My Father’s Dragon, Guillermo del Toro’s Pinocchio and Richard Linklater’s Apollo 10 ½: A Space Age Childhood — plus such smart acquisitions as The Mitchells vs. the Machines...