Delta Airlines gave one man a personal flight, but it wasn't on purpose, when Vincent Peone was the sole passenger on a flight from Aspen, Colorado, to Salt Lake City. He recorded the whole experience, including when Delta Airlines announced, "Good evening ladies and gentleman, we're about to board our flight to Salt Lake City from Gate 5, would the only passenger on this flight kindly board at this time." Peone was allowed to pick any seat and was even given the opportunity to pose for a photo outside the plane.
Here is the actual video he made: