I had a great one the other day from a certain major customer's last flight to a German destination:
"Delivery, this is ABC123, we're running late tonight and we require to be airborne by time 10, otherwise we will get caught by the jet ban. We'll be ready just before the hour"....
This was from LHR T1 for a 09R departure.
"ABC123, roger. I'm afraid that sounds impossible. I don't think there's any way you'll get airborne within ten minutes from that stand."
"No, you don't understand (always a good one saying that to ATC!), we
require [my emphasis] priority to get away before time 10"
"Roger"
Of course, no priority was shown.
I was expecting him to request 27R for departure!
It's not the first time this has happened for this flight, either.