Here is the full list of all 15 Animal Fight Club achievements.
Complete the tutorial
Beat 10 enemy animals
Beat 100 enemy animals
Beat 1000 enemy animals
Win 5 SinglePlayer battles
Win 50 SinglePlayer battle
Win 250 SinglePlayer battle
Win 5 MultiPlayer battles
Win 50 MultiPlayer battles
Win 250 MultiPlayer battles
Create a custom mission
Share a custom mission on the Steam Workshop
Complete all the Animal Fight Club Campaign
Order a new animal
Create a new creature