"A cute little ant," not "a little cute ant", which sounds very unnatural. This isn't necessarily connected with the general rules about word-order when there are multiple adjectives before a noun (e.g., a шкатулка с миниатюрой can be called a "small black Russian box", but not a "black Russian small box"). Rather, I would just say that cute little can be treated as a sort of fixed expression, almost as if they were one word.
Anyway, thanks for posting -- it was a "cute little" cartoon (I loved the rescue of the beetle from the "ant lion" at 4:05) and beautifully animated!
(I'll never understand how the stereotype of "Worker and Parasite" became a sort of развесистая клюква representing Soviet cartoons -- I've seen some rather mediocre examples of Soviet animation, but I can't remember ever seeing one that was drawn in a style even remotely similar to the resembling the Simpsons parody.)