I have a motorbike-related police story.
Way back in the '90s, I was in my twenties and riding on a country road in the GTA. I was speeding, but not an insane amount, like 80-90 in a 60km zone. Not a race bike, just my '83 Virago 500. Suddenly this cop jumps out of the bushes and stands in the middle of the road in front of me. Not in a car, but standing in the road with his hand out in front of him in a "stop" gesture.
I had to brake really hard and actually skidded to a stop a few feet in front of him, the bike turning sideways a bit, no joke. It just seemed so stupid and kind of macho, putting both himself and me at risk like that. I still can't believe it, looking back. He gave me a ticket and sent me on my way. It didn't even seem like there was a cop car anywhere around, was really weird.