Here is a selection of the best smartphone games Animal breeding game available on Play Store (Android) and App Store (iOS)

Platform :
Cats & Soup on Android Google Play StoreCats & Soup on iOS Apple iPhone iPad
Cats & Soup
Cats & Soup
A zen and relaxing simulation game with cats and soups...
Dragon City Mobile  on Android Google Play StoreDragon City Mobile  on iOS Apple iPhone iPad
Dragon City Mobile
Dragon City Mobile
Free dragon breeding game in a fantasy world.
FarmVille 3 – Farm Animals on Android Google Play StoreFarmVille 3 – Farm Animals on iOS Apple iPhone iPad
FarmVille 3 – Farm Animals
FarmVille 3 – Farm Animals
Build your farm and raise cute animals!
Monster Legends on Android Google Play StoreMonster Legends on iOS Apple iPhone iPad
Monster Legends
Monster Legends
Monster Legends is a game of breeding fighting monsters.
Country Friends Netflix on Android Google Play StoreCountry Friends Netflix on iOS Apple iPhone iPad
Country Friends Netflix
Country Friends Netflix
Netflix's farm management and simulation game
Cat condo on iOS Apple iPhone iPad
Cat condo
Cat condo
Grow your cat tree, merge cats and discover new species
My Horse on Android Google Play StoreMy Horse on iOS Apple iPhone iPad
My Horse
My Horse
My Horse is a simulation and breeding game: buy and take care of a realistic horse!
Bird bnb  on Android Google Play StoreBird bnb  on iOS Apple iPhone iPad
Bird bnb
Bird bnb
Manage your lodge to bring in as many different birds as possible!
Clouds & Sheep on Android Google Play StoreClouds & Sheep on iOS Apple iPhone iPad
Clouds & Sheep
Clouds & Sheep
Clouds & Sheep is a free simulation game with adorable sheep.
Pet Shop Story on Android Google Play StorePet Shop Story on iOS Apple iPhone iPad
Pet Shop Story
Pet Shop Story
Pet Shop Story is a free pet management and breeding game.
Dragon Story on iOS Apple iPhone iPad
Dragon Story
Dragon Story
Dragon Story is a free dragon breeding game
Dragons World
Dragons World
Dragons World is a game of simulation and breeding of dragons on smartphone.

Littlest Pet Shop is a free simulation game for kids. Dive into this wonderful world and collect your favorite Pet Shop!
Wonder Zoo - Animal Rescue!
Wonder Zoo - Animal Rescue!
Wonder Zoo - Animal Rescue! is a zoo management and simulation game for smartphones

Find other apps that might interest you on the subject Management simulation strategy games