Pointless list, I know, but still....
MAMMALS
Marsupials: Red Kangaroo
Primates ---
Monkeys: Olive Baboon, Mandrill.
Apes: Chimpanzee, Lowland Gorilla, Orangutan
Xennarthrans: Giant Anteater, Megatherium
Cetaceans ---
Baleen Whales: Bowhead Whale, Humpback Whale
Toothed Whales: Beluga, Narwhal, Harbour Porpoise, Bottlenose Dolphin, Orca, Sperm Whale
Carnivores (Carnivora) ---
Dogs: African Wild Dog, Grey Wolf (Arctic Wolf, Mexican Grey Wolf)
Bears: Polar Bear, American Black Bear, Asiatic Black Bear, Giant Panda, Grizzly Bear
Mustlids: Southern Sea Otter
Hyenas: Spotted Hyena
Cats: Bengal Tiger, Siberian Tiger, Leopard, Clouded Leopard, Mountain Lion, Smilodon, Snow Leopard, Jaguar, Cheetah, Lion
Pinnipeds: Elephant Seal, California Sea Lion, Pacific Walrus
Hoofed Animals (Ungulates) ---
Elephants: African Elephant, Asian Elephant, Wooly Mammoth
Sirenians: West Indian Manatee
Odd Toed Ungulates-
-Horse's and Relatives: Plains Zebra, Prezwalski's Wild Horse
-Rhinceroses: Black Rhinoceros, Javan Rhinoceros, Wooly Rhinoceros
-Tapirs: Malaysian Tapir
Even Toed Ungulates-
-Pigs: African Warthog
-Hippopotamuses: Hippopotamus
-Camels: Dromedary Camel, Llama
-Deer: Moose, Reindeer
-Giraffe: Giraffe, Okapi
-Bovids: Bongo, African Buffalo, American Bison, Sable Antelope, Gemsbok, Common Wildebeest, Blackbuck, Thompson's Gazelle, Ibex, Japanese Serow, Markhor, American Bighorn Sheep
BIRDS
Ratites: Ostrich
Penguins: Emperor Penguin
Flamingos: Greater Flamingo
Dinosaurs-
-Lizard Hipped Dinosaurs-
--Theropods: Tyrannosaurus, Coelophysis, Herrerasaurus, Allosaurus, Spinosaurus, Velociraptor, Caudipteryx, Gallimimus
--Sauropods: Plateosaurus (techically a prosauropod), Apatosaurus
--Armoured Dinosaurs: Stegosaurus, Kentrosaurus, Ankylosaurus, Triceratops, Styraccosaurus
--Ornithopods: Camptosaurus, Iguanadon, Lambeosaurus
REPTILES
Snakes and Lizards: Komodo Dragon
Crocodiles and Alligators: Saltwater Crocodile, Deinosuchus
Tortoises and Turtles: Green Sea Turtle, Meiolan
Plesiosaurs: Plesiosaurus
FISH
Cartilaginous Fish-
-Sharks: Hammerhead Shark, Sortfin Mako Shark, Tiger Shark, Great White Shark, Whale Shark
-Rays: Manta Ray, Common Sawfish
Bony Fish-
-Eels: Green Moray Eel
-Spiny Rayed Fish: Atlantic Swordfish, Blue Fin Tuna, Great Barracuda
INVERTEBRATES
Cnidarians: Lion's Mane Jellyfish
Molluscs: Giant Squid, Pacific Octopus.
Any other animal doesn't fit in to the groups, but I hope this helps.