Shiny Pokémon

Shiny Pokémon (ポケモンの光る) are Pokémon with different coloration than the normal versions of the Pokémon although they have no stat differences at all. Shiny Pokémon have been included since Generation II in Pokémon Gold Version and Pokémon Silver Version in which the first shiny Pokémon that was introduced was a Red Gyarados. Shiny Pokémon are considered very rare. The term "shiny" is a reference to their difference in color and their sparkling animation and sound effect when they enter into battle. The term was unofficial prior to Generation V, when the Pokédex began cataloging shiny Pokémon and using the term itself.

Comparison
The color change can be anywhere from very noticeable, e.g. Charizard: Other shiny Pokemon are very similar to their normal versions, such as Clefable.

Encountering
In Generation II, a Pokemon randomly assigned 5 integers between 0 and 15 to determine their base stats. (HP, Attack, Defense, Special, and Speed) If all 5 numbers are equal to 10, the Pokemon's color scheme will be set to 0. The chance of seeing a shiny Pokémon is 1 in every 8192, or 0.0122%. From Generation III onwards, shiny Pokémon are determined by other factors such as the Trainer ID number and the personality value of the Pokémon. Despite this change, the odds of randomly encountering a shiny Pokemon is still 1 in 8192.

Methods
There are a few different methods to increase your chances of obtaining a shiny Pokémon.

Chaining (Gen IV, and VI)
This method uses the Pokéradar in Pokémon Diamond and Pearl, Pokémon Platinum, and Pokémon X and Y to encounter chains of the same Pokémon. Here's a few tips (Non-Gen VI):
 * If the bush just shakes, it is a Sinnoh Pokémon.
 * If the bush has a whitish shake, it might be a non-native Pokémon.
 * Never use it in water, caves, or tall grass.
 * The bush with the same type of shake as the first Pokémon you battled that is the farthest away within a four by four grid is most likely the same Pokémon.
 * The likelihood of finding a shiny Pokemon increases as your chain increases, maxing out at 40. Pulsing, sparkling grass indicates a Shiny Pokemon is in that bush.

Masuda Method (Gen IV-VI)
To use this method you must breed two Pokemon from games in different languages. Using this method improves your odds of hatching a shiny Pokemon from 1/8192 to 1/2048 or 1/1365.3, in Generation IV or Generation V, respectively. This method was the brainchild of Junichi Masuda, director of GameFreak.

Soft Reset (Useful for Legendaries and Shiny Starters (Gen. II to Gen. VI))
One method which is easy enough (but often very time consuming) works for starters and most Legendary Pokémon. Basically, the method is to stand in front of the legendary Pokémon you will catch/starter you will take and save. If you don't get a shiny when you get your starter/battle the legendary, soft reset the game by pressing A+B+Start+Select on the GBA and L+R+Start+Select on the DS. This method can often require over 1000 resets before you get a shiny, however with enough dedication and patience your efforts will pay off.

In-Game Shiny Pokémon
In-game shiny Pokémon are met as part of the main story in some Pokémon games. For example, the Red Gyarados appears in Pokémon Gold, Silver, and Crystal Versions, and in Pokémon HeartGold and SoulSilver Versions as part of a story arc, and can be caught in a way similar to most legendary Pokémon.

In FireRed and LeafGreen, a Trainer with a shiny Espeon can be battled inside the Trainer Tower on one of the Sevii Islands. There is also another trainer with a shiny Meowth.

In Pokémon Black Version 2 and Pokemon White Version 2, the player can catch a Shiny Haxorus in the post-story. The player can also receive a Shiny Gible in Black 2 and a Shiny Dratini in White 2.

Anime

 * Rhyhorn: in season 2 there was a shiny Rhyhorn that was pink. was seen again after Jesse found out about it.
 * Jigglypuff: was in fact a shiny version of a Jigglypuff in reference to the colors of the shiny version of this pokemon
 * Noctowl: Ash Ketchum caught a Shiny Noctowl while on his travels through Johto. It also seems to be about half the size of other Noctowls.
 * Shuckle: While in Johto, Ash and co. discovered a Shiny Shuckle.
 * Gyarados: First seen in the Lake of Rage and was caught by Lance. It was also seen again during the battle between Kyogre and Groudon.
 * Magneton: Owned by Pokémon Trainer Jackson when he battles Ash in the Silver Conference.
 * Swellow: Winona, the Fortree City Gym Leader has a Shiny Swellow.
 * Donphan: A Shiny Donphan has been shown in the Hoenn Region on Dontoe Island.
 * Magikarp: Was seen briefly in the episode "Judgement Day".
 * Dustox: Jessie's Dustox fell in love with a male Shiny Dustox and then was released similar to how Ash released his Butterfree. (Except Jessie smashed Dustox's Poké Ball so it could go with its true love)
 * Shiny Metagross: In the episode "Noodles! Roamin' Off", James in Team Rocket went out to see this strangely colored Metagross that people had been talking about, and was promptly attacked by the shiny Metagross.
 * A Ditto in "Dealing With Fierce Double Ditto Drama" was shiny.
 * Ariados: In the Special Episode "Dawn's New Journey", Dawn and Cinco encountered a swarm of Ariados as well as a shiny one using Psychic so the others could wrap Dawn and the others with String Shot.
 * Entei, Raikou, and Suicune: the three legendary beasts were shiny guardians of the city in the Pokémon Movie: Zoroark: Master of Illusions
 * Hydreigon owned by Carlita in White, Victini, and Reshiram. It is used in the tournament In that movie.
 * Golurk owned by Carlita in White: Victini and Zekrom. It was used to guard Juanita's trailer that contained Victini dolls and candy.
 * Onix: The Pokemon was seen near the end in, "Expedition to Onix Island" after Meloetta uses her song to calm down the other attacking Onix. It seemed to have been the leader of the Onix.

Trivia

 * In Generation II games shiny Pokémon can be slightly stronger than their normal colored counterparts. However, this is not true for later generations.
 * There are examples of Pokémon which, although colored differently, are not officially shiny, such as gender or form differences in regular coloring such as in Hippowdon, Jellicent, and Gastrodon. However, these are not shiny variants, but each gender or form will have its own shiny color that differs from the usual color for their gender or form.
 * The first alternately colored Pokémon to appear in the anime series was seen by Ash in the first season when he released his Butterfree so it could find a mate.
 * In Pokémon Mystery Dungeon: Red Rescue Team and Blue Rescue Team, two Kecleon own a shop in the town square. One is a dark purple color.
 * The Pokémon which reside in parts of the Orange Islands are colored differently to other Pokémon. The color changes are due to climate and natural adaption according to Professor Ivy.
 * In the Anime, "In the Pink" was just that apparently, eating the berries there turned Pokemon pink. However, if the Pokemon stopped eating the berries, they would discontinue being pink. Ash's Pikachu was temporarily pink due to this.