I'm not going to recommend you too many, I'll start with two and you can see what you think.My book tastes and explanations.
I'm not terribly picky about what I watch. I even have some student's thesis film bookmarked that I've watched several times.
Speaking of random people's YouTube films:
I like them for, respectively, lovely work on expressions and nonverbal storytelling, and being very whimsical and suggesting an artist or child's connection to their drawings and creative work. It's a sentiment I recognize, intended or not, from my childhood when I used to draw all the time. They're about as long as they need to be to tell the story they want to tell, visually appealing, and leave a lot of room for interpretation though they offer some obvious tidbits. They may use common or well-known themes, but they're not cookie-cutter constructs of whatever archetypes, conflicts, recycled jokes, etc, will just make the damn engine run as if that's all that matters.
Growing up, some of my favorite animated films were All Dogs Go to Heaven and We're Back: A Dinosaur's Story. Looking back, I saw some of my own emotional problems reflected in the films and that made the fantasy worlds very real and very soothing. The stories were simple on the surface and clearly wanted to be cute and funny for you, but there were some clever spurts of dialogue more complex than its medium in the second and other things could be read in them that might make it much more personal for a viewer.
I was a huge fan of Doctor Who for a decade or more. I loved the idea of a zany alien man who whisked his companions away on a soft sci-fi adventure through time and space. I loved that it gave minor characters their share of the spotlight as well as a sense of humanity and importance, because it fleshed out the worlds the main characters explored and really made me care that The Doctor always wanted to be a hero. Recurring themes of only ever being able to be so close to the humans he was fascinated by, not being as capable and wonderful as everyone believed him to be, and having to remember that he was not, in fact, one of them added a touch of sadness and admiration for The Doctor.
When I see anime I don't like, the problems are:
1) It's trying to tell a specific kind of story (horror, comedy, fantasy), but the visual style looks the same as anime of any other genre. It doesn't take advantage of the fact that it's a visual medium.
2) There's a ton of pointless filler. It's talking to hear itself talk, as one would say about a person.
3) The same unfunny jokes are in every episode.
4) It doesn't bother to develop characters, the fictional world, etc. It doesn't grow or draw me in.
5) It offers me nothing to think about or interpret.
6) It's predictable or has the same kind of things I always see in anime with nothing new added.
The last one I tried was a random pick called Final Fantasy: Unlimited which had every single one except the first, which it gets no real credit for because its own visuals didn't fit together at times. I would have given 2-D and 3-D combo the benefit of the doubt if it looked like they actually had a professional do the 3-D, but I nearly stopped the instant I saw it because it was just so bad. It was supposedly popular, which is bizarre - maybe there really is a huge cultural disconnect going on.
The first is a longer series called Kemono no Souja Erin. It follows the life of Erin through to her adulthood. I won't give too much away, it's in a bit of a fantasy setting, the art style is simple and bright... I felt it was fitting to the kind of story it was, and it definitely had that sometimes bittersweet quality to the childhood films that I loved.
The second is Kino no Tabi: The Beautiful World. I'll leave you with the synopsis, I feel it's reasonably accurate -
Based on a hit light novel series by Keiichi Sigsawa, the philosophical Kino's Journey employs the time-honored motif of the road trip as a vehicle for self-discovery and universal truth. Deeply meditative and cooler than zero, the series follows the existential adventures of the apt marksman Kino along with talking motorcycle Hermes as they travel the world and learn much about themselves in the process. Imaginative, thought-provoking, and sometimes disturbing, Kino's journey is documented in an episodic style with an emphasis on atmosphere rather than action or plot, though still prevalent.
The show I was talking about in my earlier post is called Monster.
If you don't end up like these shows, then ah well. But based on what you described, I think they have the potential there to please you.