Other than Miyazaki movies, I don't watch much anime at all.
However, a lot of 80s cartoons were Japanimation, like Dungeons and Dragons, Rainbow Brite, the original Care Bears and My Little Pony, I think maybe Transformers and Inspector Gadget were originally Japanese too.
Don't tell anyone, but for a couple years I was, about 25 years ago, a pretty big Pokemon fan. I don't remember how to play the game anymore, but I still love Vulpix.
I also watched a hefty amount of Digimon, Dragon Ball Z, and a few others well enough that I could at the time, tell you the plot that built from episode to episode.
You see, I was with someone who was heavily into Anime, comics, etc. I've seen a lot of the famous anime films of the 90s and early 2000s. Many of which were very weird and confusing.
I am a lifelong Hello Kitty fan. And used to watch the early 80s cartoons as a little girl.
Sailor Moon is also pretty darn wonderful. My daughter has inherited my love for all things clumsy, weepy, awesome, adorable Usagi!
I'm not really interested in Anime at all right now. But like I said, I do love the meditative wonder and beauty of Miyazake movies, like Totoro, Castle in the Sky, Ponyo, etc.
I prefer foreign films dubbed, with captions on at the same time, so I can really understand them.
Ponyo says her mother is really big and really beautiful:
I kinda want to be her when I grow up.