I didn't read all the posts so I don't know if it has already been mentioned:
I agree with you and all the 3D animations are becoming annoying for me since I prefer 2D, but 3D obviously is an artform in itself.
To mention some disney stuff: The 2D animated "princess and the frog" was great for me!
"Frozen" by disney was also great, but it would have been at least 2times better in 2D.
They also did a fantastic job imo merging old and new in this new mickey mouse short:
https://www.youtube.com/watch?v=6hcovabJXA4 Or one example of the other new shorts with the "old" mickey:
https://www.youtube.com/watch?v=pCXPwJvZPVI Or the newest Winnie Pooh, really great animation
https://www.youtube.com/watch?v=QbFz--GCkOM Almost everything 2D by disney is very good, also Mulan! (I do not agree at all to a previous comment to it being "clumsy")
Do you like the Studio Ghibli stuff? Some incredible animation there like Chihiro, How's moving castle, Arrietty and many more
Also classics by Don Bluth are great, Secret of Nimh is my favourite, or Anastasia, Land before time part 1,Titan AE.