Maybe you could convert a horse unit I saw in Civ4 and rig the reindeer from Wolfdog to it...
There's both a Panther and a Leopard in Civ4, plus a Bear with custom animations. Maybe you could convert those? (If you recall I tried to convert the Bear to Lion animations with comical results). I think there's a giraffe too.
I am already planning on converting the rest of the cats from Civ IV (lioness, panther, jaguar, cheetah, leopard); they all use the same mesh and animations so this will be cake as they are all re-skins.
The bears (polar, brown, black) only have 4 animations: idle, run, hurt, and die. No attack animations (I am guessing they just used the run animation for attacks in Civ IV?) so I am looking for options there. EDIT: Duh! The original Civ IV source files have all bear animations, so these are complete. :END EDIT
There is a hyena skin but no mesh or animations.
Wild boar I have already converted (in the Goblin settler unit) but it doesn't have attack animations, either. It is rigged to Ox animations and looks somewhat ridiculous at large scale.
Haven't seen a giraffe.
There is an orangutan as well from Civ IV, but again with no (custom) animations. It appears that they used Civ IV barbarian animations - I am not sure how well those worked.
Elephant and mammoth are easily converted (Using existing CiV animations from one of the elephant mounted units) but I haven't gotten to them yet.
There are more; you can keep up-to-date with the latest animal unit additions in the
wildlife forum.