Each game has several Pushmo. The first bunch are random shapes but later ones are designed to look like something. The goal is to get to the top of each Pushmo though the story Pushmo have either children or birds to rescue at first but get replaced with flags. The extra levels have flags to get regardless of what time it has been completed
Each game also has a level editor that distributes levels via QR codes. To ensure each level is possible, the creator has to complete a level before creating a QR code.
References from other Franchises
Super Mario Maker
Mallo is available for use (after unlocking) in Super Mario Maker.