Escape Plan is a black-and-white side-scrolling platformer based entirely around solving puzzles. In the game, the player controls the flimsy Lil and the huge Laarg, two characters who are imprisoned in the facility of a nefarious character named Bakuki. The player must guide Lil and Laarg out of the facility using various features of the PS Vita's touch screens on both sides of the device, and gyroscopic control. For example, swiping across the characters causes them to walk forward, poking them causes them to stop walking, squeezing them causes them to fart, etc. In addition to directly interacting with the characters, the player must also touch things in the environment to help the duo escape.
Many obstacles are traps the player has to avoid, ranging from simple bricks to pipes blowing steam and large, rotating fans. Players can for instance pinch the touch screens to grab the characters and guide them to safety. Another level is entirely based around helium and there the device has to be titled to make them float on a safe path. The analog sticks are used to change the zoom level and the triggers switch between the two characters, as they also have to work together. There are about 80 levels in total set in four different environments and most of them can be completed in a few minutes. At the end of each level the player's performance is rated out of three stars.