It's so weird because I only have ever encountered two shinies since Red Gyarados. Both were RE and both were on my Black version, which is the version I play least.
I caught a shiny Sandile a few months back but never told anyone. It has a bold nature and it joined my in-game team since it was my first playthrough.
Just now, I caught a shiny Minccino! It won't be joining my team because it doesn't fit but it is SO CUTE!
Edit: Actually I forgot I encountered a Stantler in the Safari Zone in SS. It fled though, naturally.