How to Get more Animals in Minecraft?

Farming Sheep, Cows and Pigs

Hold some of their favourite food out (wheat for sheep and cows; carrots for pigs; seeds for chickens). When they notice the food, they will look at you and follow you. Lead them back to their new home! If you built the kind of pen suggested above, it will be easy to get them to follow you in.

What Minecraft Mod Adds more Animals?

Zoo And Wild Animals Mod
This mod adds more animals to Minecraft, some of which are tamable.

Why are there no Animals in my Minecraft?

Animals spawn in daylight or high levels of light on the surface, and your valley is probably darker than the surrounding flatlands, with less grass as well. The shallow daytime light and the high probability that youre surrounded by stone walls is probably the cause of your troubles.