The only thing you mention that I've seen is Princess Mononoke. (I watched part of Haibane Renmei but not all of it and barely remember the contents.) I'll brush up on Mononoke and get back to you.
ETA: It has become apparent that I do not have enough interest in this project to rewatch a movie. (Unlike reading a book, I can't really do that faster if I want.) Oh well.
This is the monthly thread for posting media of various types that you've found that you enjoy. I find that reading the sequences makes me less likely to enjoy some entertainment media that is otherwise quite popular, and finding media recommended by LWers is a good way to mitigate this. Post what you're reading, listening to, watching, and your opinion of it. Post recommendations to blogs. Post whatever media you feel like discussing! To see previous recommendations, check out the older threads.
Rules: