Unmentioned ones so far...
. BUNNIES,need I say more?
Now that the most important one is out of the way,I will continue.
-ALL DOGS GO TO HEAVEN!!!
-The fox and the hound (Has a sequel if you like country/bluegrass music,which I do)
-Bambi (Has a sequel if you like...umm...ungulates I guess)
-101 Dalmations(has a sequel if you like...umm...terrible sequels,hehehe)
-Lady and the tramp(has a sequel if you like...ok this running gag has gotten out of hand,I will stop now)
-Oliver & company
-The cat returns
-Yobi the five tailed fox
-Father of the pride
-Spice and wolf
Also,the two films that made me cry...are actually animal related:
-Hachiko (a true story,much like Greyfriars Bobby,except in Japan)
-Plague dogs (not a great film,but the end is just so heart-wrenching)
Hey Shim...does Treasure Planet count? Captain Amelia,me-owww
Surely "The land before time" counts aswell,as do "Winnie the pooh" related things.