Really well done :) Well executed, solid idea, love the cute cats and audio is very fitting.
Some minor nitpicks! Since some (all?) of the cats are wider than one block, if there's a 1 block wide section of lava you can't fall in. The cat being larger than the blocks also makes the jumps maybe a bit more precise than they need to be. I think having some control over the height of the jump (Like in mario) would help a lot. The camera zooming out causes some weird visual issues which was pretty distracting in the magic carpet level.