Something I'm not clear on: if you're doing Zookeeper, you want them all. Are you looking for a short list of prominent wild pets, or just recommended breeds?
Anyway, some first reaction additions on seeing your list:
I'd take a H/P over a P/S Gilded Moth any day. My H/P Gilded is my "anchor moth".
Apart from the S/S Cottontail, which is a must-have, you also want a 357 speed rabbit. Maybe you have a Spring Rabbit, but from the wild, an S/S Rabbit or Alpine Hare will also do.
Alpine Foxling S/S
Leopard Tree Frog S/S
Blighted Squirrel H/P
Infected Squirrel H/P
Kun-Lai Runt P/P
Mud Jumper or Swamp Croaker (for Bubble)
Nordrassil Wisp S/S
Qiraji Guardling S/S P/P (out of season atm)
Let's see: we've covered Moths, Frogs, Rabbits, Fox... you probably want a Spider.
Skittering Cavern Crawler S/S or Amethyst Spiderling H/P or Feverbite Hatchling P/P. Personally, I don't recall ever needing a fast spider.
I have skipped over lots of pets I like here, in the interest of keeping the list manageable, and I've probably forgotten some, but I can definitely recommend all the above.
[Edit: oops; you already had Scourged Whelpling]