The card packs, which also include a Disney character sticker, will be given out with every $20 spent at Countdown.
There are 42 cards in total, and Countdown is promising to host swap-meets at stores throughout the country in May, when children can trade their wares and boost their collections.
As well as the cards, stickers and projector, parents will also have the opportunity to splash their cash on a collectors' album and collectors' tin.
Countdown's previous collectable cards, DreamWorks Heroes, were a sell out hit.
AUT senior lecturer in marketing and retailing, Helene Wilkinson, said the interactive nature of the DreamWorks campaign was a large part of its success.
"This is an emotional attachment with a strong association for all members of the family. It's an engagement with the whole display, the app, the book, and in the supermarket."
Countdown general marketing manager, Bridget Lamont, says the Disney cards will draw on stories adored by older generations, as well as the more modern hits, and will promote family activities.
"Storytelling encourages imagination, creativity and togetherness. Disney Movie Stars offers Kiwi families the chance to re-tell stories in their own words. The projector adds a unique and interactive alternative to the traditional bedtime book," she says.
"We've had an overwhelmingly positive response to our previous collectables and we anticipate Disney Movie Stars will be a hit too."
The card packs, projectors and collector's items will be available until May 15.