Saddle

A saddle is an item that can be placed on any rideable mob except for llamas.

Fishing
Saddles can be obtained as a "treasure" item from fishing with a base chance (without fishing rod enchantments) of 0.8%...

Trading
Master-level leatherworker villagers have 50% chance to sell a saddle for 6 emeralds as their trade.. This trade is always offered in Java Edition.

Drops
Ravagers always drop one saddle when killed. The drop is unaffected by the Looting enchantment.

Usage
Saddles may be used to ride horses, donkeys, mules, and pigs. An equine mob equipped with saddle is rendered wearing a bridle along with the saddle.

a saddle on a pig equips the pig with the saddle, allowing the player to ride the pig. Controlling the pig requires using a carrot on a stick. Killing the pig is the only way to retrieve the saddle.

Tamed horses, donkeys, and mules can be ridden without a saddle, but a saddle is required to control them. Once tamed, they can be equipped with a saddle by placing it in their inventory, which can be opened by pressing while holding a saddle or. The saddle can be unequipped by removing it from the specific inventory slot.

Trivia

 * A saddle is considered "armor" by the game, but the value of protection to the pig is zero.
 * A saddle can still be seen if the pig is invisible.
 * Punching a pig or horse while holding a saddle causes the mob to wear the saddle, and it is removed from the player's inventory, even in Creative mode.
 * The "When Pigs Fly" achievement requires "Cow Tipper" even though leather is not used to craft saddles.