Now that I've found my copy of X, I can tell all of the shiny Pokemon I have. I know nothing about chaining or the methods other people use. Every now and then I use a Japanese ditto to breed in the hopes of a shiny, but that's never worked. All of these are completely accidental or event Pokemon.
I have the red Gyrados from Gold/Silver that everyone can get.
I've caught shiny geodude, pidgey, emolga, gible, panpour, phantump, and ferroseed. From the replacement copy of Y I had bought just days before finding mine, I got a shiny Dunsparce, shiny Vivillon and shiny Spinda.
From random trades (never had anything to give that was good, but people have given them away for anything in return) I've been given shiny Flareon, shiny Shellder, shiny Charmeleon, shiny Shaymin, shiny Mewtwo and shiny Regigigas.
I've been given a shiny Japanese event Genesect and shiny Japanese event Jirachi. A kindly member here (I don't remember who) gave me a shiny event Palkia and shiny event Giratina that I missed from Gamestop.
I've also downloaded the following shiny event pokemon: Entei, Raikou, Suicune, Dialga, Pichu and Beldum. I forgot to do the shiny Gengar from Gamestop, so I missed that one