Which Toy Story-based world appears in Kingdom Hearts III?

The Toy Story-based world in Kingdom Hearts III is Toy Box.

Toy Box is a Pixar-inspired world featuring Woody, Buzz Lightyear, Hamm, Rex, the Green Army Men, and other Toy Story characters. Its story takes place between Toy Story 2 and Toy Story 3, while Andy is absent and the toys investigate the disappearance of their friends.

Unlike several earlier Kingdom Hearts worlds that closely adapt a film’s plot, Toy Box uses an original adventure. Sora, Donald, and Goofy shrink to toy size and explore Andy’s bedroom, a toy store, and other locations while confronting Organization XIII’s experiments with toys and replicas.

The name can be confused with Toy Box mode from the Toy Story 3 video game, which is a separate free-roaming feature. In Kingdom Hearts III, Toy Box is the official name of the entire Toy Story world, just as Arendelle is the Frozen world and Monstropolis is the Monsters, Inc. world.