Bad things first: When using a controller, you have to press up to go through a door, but the joystick doesn't work for it, you have to press up on the d-pad. The background looks very prototype-y and doesn't match the rest of the art. The sound effects fit with the theme, but I think they could do with having more punch to them.
Now the good: I really enjoyed this. Is there a cozy puzzle platformer genre? If not, I think you just created it. The art and animation were simple and good. I particularly like how the main character looks, and the button you have to jump on. It was great when I got to the level where I could go through the bottom of the level and end up on top, and then go from one side to the other. The puzzles were pleasant. I liked getting the triple-jump on the final level. I would have played more. :)