Did you ever sit by a famous person on an airplane?

I have been on the same flights as local (Quebec) celebrities two or three times, but never seating right next to them.

I was on a flight to LA once and the woman across the aisle looked a lot like Gwyneth Paltrow - so much so that I spent the whole flight trying to get a good look at her, to confirm if it really was her or not. It was economy class, so probably it wasn't.