Humans are really not as special as people here think. The overwhelming majority of human artistic endeavors, including most famous works, are entirely formulaic and derivative, created in an attempt to maximize profit. The remaining "true art" is mostly crap, because it turns out that having a strong emotional desire to put your feelings on paper is largely uncorrelated with possessing any artistic skill. Humans are just another kind of machine, and art is just another problem to be solved.
That said, I very much doubt that we're going to see AIs creating anime from scratch any time soon. The slow, expensive parts of creating anime are the animation, voice acting, and music, all of which will only require a small initial input from a human. There will be a human director writing the script, giving "stage directions", and offering their opinion on musical styles and atmosphere, while all of the grunt work which requires minimal creativity will be done by computers.
Sage because this is the hundredth time we've had this same thread, and there are more fun things to have on the front page.