I do have a few in total though... Onix, now Steelix, Bagon, Kabuto, two Poliwags (my most recent ones), the 3 Johto beasts, the Sinnoh Dragon trio (gotta love events, I have 4 of each), and that's all i think...
EDIT: Actually, all of those could be classed as not trying to get them shiny... as Onix was found in FR in my brother's game and he gave it to me as he wasn't into Pokemon as I was...
Bagon/Kabuto were RNG'd Egg hatced in Platinum
both the Poliwags (who were an hour apart from each other) were fished up in Y, and the others were events...
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Quite a few in previous games from just exploring, with just enough that I can't even begin to note what they all are. As for Y, I've gotten quite a few as well.
Most of them are from fishing (3 Magikarp, a Gyarados, 2 Corsola, 2 Octillery, and a Skrelp) Almost as many are from Friend Safari (An Octillery, Mincinno, Crawdaunt, and most recently, a Duosion come to mind) One from random eggs (Bulbasaur)
...I think that's it. That's all I can remember for now anyway.
I have played at minimum 2 versions in every generation. I spent a grand total of 1,100 hours playing Sapphire alone. I have still not encountered a shiny. Whether through breeding or in the wild.
I wish I could give you my shiny encounters. I personally don't care about shinies, and I'm a casual gamer, but I have half a box of shinies, excluding the shinies I traded away for perfect mons/legendaries. And this is only up to Black.