May be a risky strategy but watching Air Crash Investigation actually worked reasonably well to help me. It sounds silly, but it shows precisely how badly wrong things have to go for there to be a problem (it's never one thing, it takes 4 or 5, often more), and (together with Mythbusters) gets rid of the idea that crashes aren't survivable (the vast majority are provided you've got your wits about you, even given the tiny statistical chance of being involved in one - I've flown several hundred times and have had one go-around as the only thing of real interest) and other similar silly rumours like the purpose of the brace position (which genuinely does exist to stop you getting flail injuries or whacking your head on the seat in front, not for the silly purposes mentioned in conspiracy theories).
It's not at all silly to suggest that watching things going wrong actually is a brilliant way to demonstrate to someone the safety of flying.
Here's a video that did the rounds years ago (I can't believe it was recorded ten years ago!) that really demonstrates to me just how safe we are in the air.
[youtube]9KhZwsYtNDE[/youtube]
Look at the sequence of events:
Bird strike disables engine
Very quickly pilots announce "Mayday" - they remain calm.
ATC (remaining calm) prioritises aircraft for landing at Manchester on any available runway.
ATC also arrange an alternate landing site at Liverpool if the pilots wish (they don't, but the option is available to them)
Within a few minutes, the emergency services are mobilised and alongside the runway.
ATC and pilots (remaining calm) discuss their arrangements - the aircraft can pretty much do what they like in liaison with ATC - being an emergency they have priority.
They land, the aircraft is inspected, they vacate. Plans are made to go back to the stand.
Can you imagine any other situation that is as well controlled as this? This is what aviation is all about - safety and excellent communication. Everyone remained calm, multiple options were available to the pilot and the ATC and they worked closely together to get the plane back to the airport safely.
I wasn't a particularly nervous flier, but watching this video really reassured me that, when you're in the air, you're in safe hands.