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Like in BoxBoy!, BoxBoxBoy! has players controlling Qbby, a box-shaped character who can create boxes from out of his body. Like before, players use boxes to solve various puzzles, such as climbing on ledges, pushing switches, and avoiding obstacles, in order to reach the end of each level. In this game, Qbby is able to create two sets of boxes at a time, allowing for more complex puzzle solving. Players can use medals earned from completing levels to unlock costumes, music tracks, and 4-panel comic strips, and can unlock additional levels by collecting crowns.
BoxBoxBoy! received positive reviews from critics. On Metacritic, the game holds a score of 80/100 based on 26 reviews. Chris Carter from Destructoid gave the game a score of 7.5/10, saying that it had a "simplistic elegance". Game Informer's Kyle Hilliard gave the game an 8/10, stating that it was "remarkably similar" to its predecessor and failed to expand on the original concept, but that these were not "bad things".