263 individual looks.
This page lists untameable models for official pet families, as well as those that aren't currently classified but might make good pets anyway.
Index of Families
Index of Unofficial / Speculative Families
A sleeker, one-headed version of the core hound. These beasts are associated with the Dark Iron Dwarves and we don't yet know if they'll become generally tameable.
These ostensible core hound relatives are currently all classed as demons.
This model is used for Rezan, the devilsaur Loa of Zandalar, but not currently by any tameable beasts.
This wicked new gorilla may have been designed for a raid boss but hopefully it will also be used on a tameable creature.
No tameable versions of these robo-prairie dogs have been found yet, but if mechanical chickens can be then why not? :)
This fancy model is used for a pair of mounts. Since other saddled raptors have been tameable, we're including them for completeness.
These eerie, flying beasts serve the Old Gods. Most are currently classed as Aberrations.
Otherworldly creatures based on the Qilin / Kirin of Chinese and Japanese mythology.
This updated warp stalker model hasn't been used for any wild beasts, yet. We don't know if it will be used to replace the original model, or reserved for newer NPCs.
This update for the original larva/grub model is unlikely to become tameable. It is included only because an NPC using the older model was once mistakenly tameable for a short time.
A beast with this model was once mistakenly flagged tameable, but it is unlikely that this will happen again.
This model may be intended purely for supernatural summons; we don't know if it will ever be available for taming.
Part wolf - part serpent. We're not sure what to classify these as.
We're calling them "Devourer Scavengers" for want of a better name right now.
All of these creatures are currently classed as Aberrations.