Tama and Friends
Classification: Cartoon Cat.
Description: I don't know much about this series, but it's pretty dang cute, and I think UNDER17/Halko Momoi did a song related to it, so it deserves a reference in the compendium to be sure.
The Official Site
Anime News Network's Description of the Show
(Scientific Name: Tonari No Totoro ^_^)
Classification: Mythical (?) Creature.
Description: The lovable pseudo-monster / jolly grey giant from Miyazaki's classic movie "My Neighbor Totoro." While there were actually three types of Totoro that appeared in the movie, the big guy is undoubtedly the most famous, and in my opinion, the cutest. Proof that - in the scope of cuteness anyway - indeed, size doesn't matter.
The Camphor Tree
Nausicaa.net's Totoro Page

See Also:
Hayao Miyazaki / Studio Ghibli (Creators of many other fine animated features, many of which include some non-run-of-the-mill cuteness).