Animals are similar to Humans and Plants and require the Life recipe.
Fire + Earth = Lava
Lava + Earth = Volcano
Earth + Ocean or Sea = Primordial Soup
Volcano + Primordial Soup = Life
Once you have Life you will be able to use it with to make an animal.
Earth + Earth = Land
Land + Life = Animal
The following is a list of recipes using animals.
Bird = Animal + Air
Camel = Desert + Animal
Domestication = Animal + Human
Fish = Animal + Stone
Frog = Animal + Pond
Lizard = Animal + Tool or Sword
Meat = Animal + Mud
Pig = Animal + Mud
Polar Bear = Animal + Arctic
Scorpion = Animal + Dune or Sand
Sloth = Time + Animal
Turtle = Animal + Beach
Wild Boar = Animal + Pig
Zoo = Animal + Village or Container