Below is a list of the characters by species. They are sorted roughly by largest to smallest size. Animals they only made one of are at the bottom.
Bears (クマ):
Kirsch
Malock
Pomy
Mark
Miomio
Puupuu
Sazan
Mash
Limit
Marshmallow
Minus
Cats (ネコ):
Pauly
Millefeuille
Sheena
Caty
Martha
Miike
Nemy
Nyao
Kerry
Leaf
Robin
Kurin
Poko
Dogs (イヌ):
Map
Flower
Ben
Biggy
Bull
Dog
Galileo
Lily
Marble
Maron
Meeme
Minky
Puppy
Rogue
Bosch
Huey
Tabitha
Carello
Elephants (ゾウ):
Elefan
Pinch
Chalk
Dry
Yankee
Foxes & Ezo Red Foxes (キツネとキタキツネ):
Polish
Irina
Fockle
Folly
Leg
Sharol
Kate
Puffy
Tocchii
Humans (人間):
Tetsuyuki-chan
Katsuaki-chan
Hiroko-chan
Kumiko-chan
Koalas (コアラ):
Pao
Poppy
Alpino
Race
Mice (ネズミ):
Jim
Matty
Chem
Chocola
Chucchu
Joey
Judy
Annie
Pip
Purin
Pandas (パンダ):
Bake
Waffle
Poron
Randy
Herb
Kuriru
Paprika
Pigs (ブタ):
Hip
Lemon
Pokey
Puu
April
Kiruto
Rabbits (ウサギ):
Golf
Gray
Letty
Milly
Nelly
Rabbick
Ratton
Jetta
Airi
Carl
Chiiko
Miiko
Lettuce
Moon
Ann
Fumi
Jiggy
Nobunaga
Paruru
Perara
Piyoko
Poppo
Puko
Rabbi
Samantha
Sheep (ヒツジ):
Daiya
Meria
Suzy
Wooly
Whip
Pure
Squirrels (リス):
Nutty
Pop
Puchitto
Purple
Rippy
Gucchi
Betty
Pinin
Tanukis (タヌキ):
Pokkoro
Raccoon
Ponty
Single (ひとり):
Monta (Gorilla ゴリラ)
Rose (Mole モグラ)
Wei (Tiger トラ)
Kemi (Aye-Aye アイアイ)
Archimedes (Deer シカ)
Pepe (Beaver ビーバー)
Merle (Fennick フェネック)
Speed (Donkey ロバ)
Foggy (Alligator ワニ)
Lesser ( Lesser Panda レッサーパンダ)