Question

How do I get a shiny Pokemon(any) in the wild?

Answer 1

In every main series Pokemon game besides Red, Green, and Blue, you can find a shiny normally in the wild with a 1/8192 chance on your side.

However, there are exceptions to this rule in a few selected games.

Yellow:

Shinies sprites did not exist yet, however, the coding for shinies did, at least in Yellow.

-Here is a video of the glitch to get a shiny in Yellow: http://www.youtube.com/watch?v=V0QDZQhjxzY

To see the shiny sprite, transfer it to a gen 2 game.

Diamond, Pearl, Platinum:

1) Complete the Sinnoh Pokedex, then talk to Prof. Rowan. He will give you the Pokeradar. With enough patience, you can get almost any shiny with it.

-Tutorial on how to use it: http://www.youtube.com/watch?v=dkeKPlBYYbs

2) -Get a Pokemon (preferably ditto) from a different language as yours.

 -(Patience required)

-Breed it with a Pokemon of yours
-???
-Profit!

(works in every game after)

Pokemon White 2 and Black 2:

1) Complete the National Pokedex and talk to Prof. Juniper's dad. He will give you the shining charm. It increases your odds of finding a shiny in the wild.

Answer 2

1 / 8192 chance to see one.

Answer 3

Walk around in the grass, go fishing, or surfing.

Answer 4

In HeartGold and SoulSilver there is a Pokemon in the Lake of Rage, which is a Shiny Gyarados (called Red Gyarados, due to it's colour)

That's probably the easiest way to get any shiny really. If not, then really the only way to get a shiny is to look in the wild and try your luck at getting a 1/8192 shot of shininess.

TIP: Try find a Pokemon of a different language. Put this Pokemon in the daycare and breed it with Ditto. Then, it is a much lower chance of finding one! (However, it's still ridiculous odds)
It's better to get a different language Ditto, because then you have more of a variety to choose from.

Good Luck Shiny Hunting! :)