Here are ones that are rated decently anyway.
Movies:
Bolt
Brother Bear
Charlotte's Web
Dinosaur
The Emperor's New Groove
Flushed Away
Ratatouille
My Neighbor Totoro
Yobi, the Five Tailed Fox - A fox and hunter story thing
The Cat Returns (Neko no Ongaeshi) - Cats
Old Crocodile/Toshi wo totta Wani - Crocodiles
Series:
Pen Pen - Penguin who is a pet
InuYasha - has lots of animals and demons
Fruits Basket - cursed people who turn into animals
Chi's Sweet Home/Atarashii Ouchi - cat
Tao Tao Ehonkan Sekai Doubutsu Banashi - Panda and other animals
Sherlock Hound/Meitantei Holmes - Dogs
