I remember my first shiny Pokemon. I didn't even run into one until Diamond, and then I got my shiny Budew. Then about a week later, got a shiny Bidoof. Then after months of not playing, picked up my game again and found a shiny Kricketune.
Non-shiny experiences. There was that one Pokemon that would taunt me: Mespirit. Down to a few HP and paralyzed but still wouldn't get caught. I put down the game for a few months. The same day I found the shiny Kricketune, I ran into Mespirit without looking for it. And caught it. With a Great Ball. *headdesk*