The first legendary BEAST I ran into was Entei and I was pretty much out of it and didn't really realize wtf was going on. Same thing happened when my I found out my Quilava had Pokerus. I was wondering why the nurse was speaking more than usual.
If you fail to get krump....nothing you do in life will succeed.- Krump King ASB Black 2: 0820-1866-0181
My example is a bit different. When I was younger, I had a dream about Mew. In my dream, I was trying to catch Mew, but it always got away. Then, I threw out a super-common, low-levelled Pokemon. Mew used Transform on that Pokemon. I was then able to catch it with a single Pokeball without dealing any damage at all.
After that dream, I used my GameShark to activate the Mew event battle in Emerald (encounter codes would result in a disobedient Mew). I threw out a Lv. 2 Wurmple, and Mew used Transform. Just like in the dream, the Mew was captured with a single Pokeball.
This was before I knew that Transform also copied the target's catch rate.
"Let's just say they're...not okay" - Madara Uchiha
I was grinding in Platinum and stumbled across a shiny Mr. Mime. I had the volume off and was watching tv at the same time, not really paying attention. Luckily I looked and noticed the sprite colour before I killed the damn thing. Eventually caught it with a Timer Ball.
Just dodge U-1, keep dodging! Pokemon Black 2 - 0562 4704 4442