All (in this database) Mammals list (with English common names)

Monotremata (Mammalia)

Marsupials - Marsupialia (Mammalia)

Insectivores - Insectivora (Mammalia)

Bats - Chiroptera (Mammalia)

Primates (Mammalia)

Lagomorphs - Lagomorpha (Mammalia)

Rodents - Rodentia (Mammalia)

Hystricognathi (Mammalia)

Carnivores - Carnivora (Mammalia)

Elephants - Proboscidea (Mammalia)

Hyraxes, Dassies - Hyracoidea (Mammalia)

Sea-cows - Sirenia (Mammalia)

Odd-toed Ungulates - Perissodactyla (Mammalia)

Even-toed Ungulates - Artiodactyla (Mammalia)

Pholidota (Mammalia)

Whales, Dolphins, Porpoises - Cetacea (Mammalia)



References:
[²]
This may require parentheses or not (original genus not verified)
[¹]
Parentheses have no taxonomic semantics here. This is an error that will be fixed at some point.

Markku Savela