So we know from Rokugan that Akodo's is a Lion, Bayushi's is a Scorpion, Doji's is a Crane, Hida's is a Crab, Shiba's is a Phoenix, Shinjo's is a Kirin/Unicorn, and Togashi's is a Dragon.
Although it took many years of the Shadowlands being identified as the dark Dragon, ultimately it feels like Fu Leng (or whatever his proper name ought to be) settled on being the Spider.
And though it took many more years under AEG and even an alternate reality book being released, we finally got to settle on Hantei's totem animal being an Owl.
So out of the 10 Kami, there is only a single one left that hasn't claimed his own animal-- and pretty much everything meaningful has been claimed, if not by a Great Clan, than at least by a minor one.
Of course, within the empire-- the last of AEG's fictions being considered canon, the Badger Clan is the one that protects Ryoshun's grave and thus can be considered to be closest to him. But does that make his spirit animal the Badger?
Perhaps something else-- maybe the Bear or the Eel would be most appropriate. Granted, it is hard to get past the fact that he is primarily known for being trapped in the spirit realm-- that makes it a little hard to imagine what sort of characteristics he possibly might have had in a reality where he had properly survived the fall.