Developer Avalanche Studios worked with filmmakers to offer new stories and characters within each themed Play Set.
Working with Pixar, The Incredibles will feature super villains and early versions of the Omnidroid robot that briefly feature in the film.
The upcoming Monsters University, meanwhile, sees players take Fear Tech, a rival campus which is mentioned briefly in the film but is fully explorable in Disney Infinity.
Finally, the developer contacted Jerry Bruckheimer to use characters from Pirates of the Caribbean that didn't make the live-action films.
"When you're playing inside Pirates of the Caribbean, you're actually playing an experience that although set during the initial first three films, it's actually adding to the experience," executive producer John Vignocchi told Digital Spy at a press briefing.
"There's characters inside of the Pirates Play Set, for example, that didn't make it into the film but Jerry [Bruckheimer] gave us access to them for the game."
Vignocchi added: "Storytelling in all the Play Sets we have in the game are not retelling the story of the film, but rather adding and expanding the fiction of each of the films."
Announced earlier this month, Disney Infinity is a new platform from Disney that combines physical figurines with a video game similar to Activision's Skylanders series.
It offers two contrasting modes through both Play Sets and the Toy Box.
Screenshot gallery - images from Disney Infinity:
Meanwhile, Toy Box allows players to freely mix and match franchises and gadgets, along with providing deep customisation features to edit the environment and even create new games.
Disney Infinity will be available on Xbox 360, PS3, PC, Wii and Wii U from June 28.
> Our preview of Disney Infinity: Skylanders challenger not the usual toy story
Watch the announcement trailer for Disney Infinity below: