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I've caught a hell of a lot of shinies in my time but only a few of them have been full odds. Because I've managed to rack up so many shinies I often forget about some of the full odds encounters, but I'll never forget the feeling of my first full odds shiny encounter back in like 2007. Shiny Silcoon in Eterna Forest while I was trying to get a Leafeon.
Most recent full odds was a shiny Machoke I found while looking for Jangmo-o in Sun. I had found a few Jangmo-o at that point but I was looking to chain SOS until a Kommo-o dropped in, and somehow I saw a random wild shiny Machoke before I got a successful chain.