Sesame Street has you covered. If you're a parent who wants to do something with your kids, something that does not involve screens, at least not primarily, check out Sesame Street Family Play.
You choose where you are: At home, away from home or travelling. Then each spot has subcategories like at home you then choose living room, kitchen, bathroom or bedroom and the app gives you a game to play that's appropriate for that location, usually sort of guessing, tag, or charades type game.
You get full instructions how to play and then at the end you see which practical life lessons you were helping to enforce by playing.
Sesame Street Family Play is an iOS app that starts as free for the home games, you'll have to make $1.99 in app purchase for the away from home and traveling games.
La Luna: The Story Project
The La Luna: The Story Project is, well, too much to call just an interactive story. It's really an entire experience centered around Disney-Pixar's short film La Luna.
First, you get to see the short. Then you get to read the short and advance the story by poking and prodding the scene. But unlike so many other interactive story apps, you aren't always necessarily moving objects on the virtual page.
Sometimes you do like when you rise the moon up into the sky, but other times your finger actually triggers a scene, often like a little choose your own adventure. Should the boy wear his hat up or down over his eyes?
Then there's storybook mode where you can read the hand drawn version but then quickly click over to see how that scene looks in the movie. Hit the corner of the title screen and that's where the aspiring animator can soak it all in. See how storyboards are created, you get to spin the physical models on which the digital characters were based, learn a bit about sound design and see the visual design progression wheel, drawings and cg side by side.
La Luna: The Story Project is an iOS app for $3.99.