Taming is the process of turning a wild animal into a domestic one by using a specific method to make it befriend a player. There are a few wild animal species that can be tamed:
WolvesA wolf will turn into a tamed wolf (often referred to as a dog) when given several Bones. A tamed wolf will have black eyes, opposed to the red-eyed aggressive wolves. A tamed wolf will also have a red collar around its neck which can be dyed a different color by using the dye of a player's choice on the wolf itself. A tamed wolf will show its health with the position of its tail, the more elevated the tail, the greater the health. It will attack any mob that its owner attacks acting as a player's side-kick. However, it won't attack creepers, and it can't enter The Nether.
OcelotsAn ocelot can be tamed by coaxing it toward a player with Raw Fish, and then feeding it several raw fish. This will turn the ocelot into a cat. It is important that a player tries to stand as still as possible while attempting to feed a wild ocelot as one can scare away the ocelot very easily. If a player moves too much then the ocelot will run away. The resulting cat that the ocelot transforms into will be one of three random breeds: tabby, tuxedo, or siamese. Tamed cats will follow a player, but they will also wander around and explore their immediate surroundings. Cats are useful to have as Creeper-deterrents as creepers do not like to go near them.
Horses, Donkeys and Mules
To tame a horse, donkey, or mule, a player must first attempt to ride the horse several times until it no longer bucks them off and hearts float up. Afterwards, a player is able to ride the animal until it either Despawns or dies. However, it can only be controlled when it is wearing a saddle. Tamed horses can wear horse armor which can be found inside of dungeons and temples. If a player right-clicks on a tamed donkey or mule while sneaking and holding a chest in hand, a player will be able to store items in the chest looking "bags" that appear on the sides of the donkey or mule after this has been achieved.
A player can tame a wild parrot by giving it Seeds. Once tamed, a parrot will follow a player around, and teleport to their side if they get too far away. Walking into a parrot will cause it to ride on a player's shoulder.