A SeaWorld Orlando break down, Antarctica Empire of the Penguin. Our car stopped rotating really early into the ride, meaning by the time we arrived at the station we were facing the wrong way and the car refused to dock. Being stuck for about 15 minutes wouldn't be so bad, but the exit station is in the Penguin habitat and is kept at about 0c. Eventually they rescued us with a step ladder.
The rescue team:

Oyr broken vehicle, so close to the station:

Plus bonus second near break down experience. Pirates of the Caribbean, the boat in front of us was weighed down a little too much. I could see the back of it extremely low down. Well, not long after the drop, it got beached next to the pirate ship. Took our boat and then the one behind it to clear it. Glad it did, otherwise people would have had to wade out as it's the only part of the ride not next to a surface.