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Hmm. That's a tough one. I think the most hilarious encounter that I've had with the AI's lack silly plays was when I was battling Caitlin for the first time in the Elite Four. Similar to WPS's encounter, I had sent out my Zoroark disguised as another pokemon (in this case, my Entei). All of her...
I have had a few shiny experiences, but they were completely unintentional.
The first was when I was breeding Oshawotts before Poke Bank made it to the US. I had unintentionally hatched a shiny Oshawott via Masuda method.
The second one slightly trolled me. I found a shiny geodude in a swarm...