Wata no Kuni Hoshi, Chi's Sweet Home Recommendations
Both are about an abandoned kitten who gets taken in by a family and cared for. The kitten 'talks' a lot throughout the show, although while the watcher hears 'human words' from her, the human characters in the show only hear meows.
-Story from the perspective of an abandoned naive kitten
-Both cats struggle with being "cats", and feel they are closer to humans than cats
-Very cute, feel good stories
As a fan of both of these series, I'd recommend checking out the other you haven't seen if you want more cute kitten characters!