So I'm just going to make a real long list and you guys can all go through it if you'd like

Wild animals have an asterisk. For the most part I tried to leave out rare species that are at zoos such as the San Diegos and Berlins which will have been seen by a great many zoonerds by now, and most famous individuals (ie Baby at Duisburg) who are specifically sought out by many zoonerds.
Mammals
Common Opossum
Tiger Quoll
Feathertail Glider
Striped Possum
Sulawesi Bear Cuscus
Southern Hairy-Nosed Wombat
Cape Hartebeest
Mountain Anoa
Japanese Serow
Spanish Ibex
Royal Antelope
Bay Duiker
Maxwell's Duiker
West African Bushbuck
American Moose**
Calamian Deer
Bawean Deer
Formosan Sika Deer
Chinese Water Deer
Coues's Deer**
Siberian Musk-Deer
Fin Whale**
Short-Finned Pilot Whale
Grey Whale**
Black-Backed Jackal
San Clemente Island Fox
Corsac Fox
Oncilla
Slender Mongoose
Brown Hyena
Greater Grison
Zorilla
American Marten
Beech Marten
Short-Tailed Weasel
Long-Tailed Weasel
Black-Footed Ferret
European Polecat
Siberian Weasel
Fisher
Marbled Polecat
African Palm-Civet
Guadalupe Fur Seal
Northern Elephant Seal**
Harp Seal
Spotted Seal
Ringed Seal
Ussuri Brown Bear (Hokkaido)
Kodiak Bear
Syrian Brown Bear
Owston's Civet
Feline Genet
Haussa Genet
Banded Civet
Malayan Civet
Mexican Free-Tailed Bat
White-Winged Vampire Bat
Southern Long-Nosed Bat
Pale Spear-Nosed Bat
Gambian Epauletted Bat
Livingstone's Flying Fox
Lyle's Flying Fox
Little Golden-Mantled Flying Fox
Little Red Flying Fox
Ruwenzori Rousette
Pallid Bat
Little Brown Bat**
Northern Short-Tailed Shrew**
Eurasian Water Shrew
Eastern Tree Hyrax
Western Tree Hyrax
Antelope Jackrabbit**
Snowshoe Hare**
European Mountain Hare
New England Cottontail**
Daurian Pika
Sumatran Rhinoceros
Chinese Pangolin
Tree Pangolin
Nancy Ma's Night-Monkey
Three-Striped Night-Monkey
Spix's Night-Monkey
Guatemalan Howler Monkey
White-Bellied Spider Monkey
Peruvian Spider Monkey
Wied's Marmoset
Red-Mantled Saddle-Backed Tamarin
Spix's Moustached Tamarin
Lowe's Guenon
Blue Monkey
Common Mona Monkey
Heck's Macaque
Olive Baboon
Guinea Baboon
Sumatran Surili
Red-Shanked Douc
Tarai Grey Langur
Fat-Tailed Dwarf Lemur
Ganzhorn's Mouse Lemur
Goodman's Mouse Lemur
Eastern Hoolock
Muller's Gibbon
Grey-Headed Lemur
Eastern Bamboo Lemur
Greater Bamboo Lemur
Red Slender Loris
Bornean Elephant
Ansell's Mole-Rat
Northern Mountain Viscacha
Woodland Vole**
White-Footed Mouse**
Alabama Beach Mouse
Mexican Dwarf Porcupine
Botta's Pocket Gopher**
Asian Garden Dormouse
Desert Pocket Mouse
Tipton Kangaroo-Rat
Ord's Kangaroo-Rat
Hairy-Footed Gerbil
Panay Bushy-Tailed Cloud Rat
Southern Luzon Giant Cloud Rat
Grandidier's Tufted-Tailed Rat
White-Tailed Antelope Squirrel
Plantain Squirrel
Gunnison's Prairie Dog**
Yellow-Bellied Marmot**
Red-and-White Giant Flying Squirrel
Franklin's Ground Squirrel**
Abert's Squirrel**
Arizona Grey Squirrel**
Yucatan Squirrel
Uinta Ground Squirrel
Round-Tailed Ground Squirrel
I'll carry out with birds, herps, etc. at a later date perhaps.
~Thylo