All Battle for Azeroth hunter pet changes should now be in effect! See our BfA pet changes page for full details.
The new (pre-expansion patch) tames below include anything not in the upcoming zones. See our Upcoming BfA looks page for other models, and for more colour variants of the models displayed here.
Not everything was flagged tameable that could be. Most noticeably, skyscreamers and zhevras cannot be tamed. We expect more tames - possibly including the aforementioned, as well as some missing colours of the models below - in a later patch, but we do not have a date for that.
In addition to the new tames below, remember that a lot of older models have received graphical updates. See our model updates page.
There are currently some appearance bugs that we know Blizzard are working on fixes for: some ghostly pets are no longer transparent, and Karkin (the black gem crab) currently has the wrong appearance. These will be fixed in a future patch.
We also believe that a future patch will re-introduce some of the replaced appearances (we assume on new NPCs, but we're unsure of the details), for hunters that prefer them.