Unfortunately, I think for most people with a real fear of flying, it is no longer a logical or rational fear. Explaining safety stats and theory of flight often doesn't help, and I think for those people I would suggest professional help in dealing with it.
If a better understanding of some of the 'behind the scenes' stuff about flying and airlines would help you, then there are good resources on here as you can see, and I would be happy to answer any questions as well about the airline side of things specifically.
It is an extremely safe (statistically) form of travel, and safety is paramount to everything we do. Very good maintenance, very new airplanes, and very experienced and well trained pilots. And the same things can generally be said for most reputable western airlines (buyer beware for African/Eastern European/some Asian airlines).
One last thing about turbulence specifically.....while it is often something people talk about when relating a 'scary' experience, it is one of the least of potential risks. When is the last time someone heard of an airliner (or any airplane) crashing due to turbulence? Cause I can't think of it.
Turbulence is uncomfortable, keeps you from getting up to go to the lavatory to drain your last couple of drinks, and worst of all prevents you from getting another. But as long as you are belted in so you don't bounce around, there is minimal risk from a safety standpoint.
I compare it to driving down a bumpy road; it may be uncomfortable, but you don't sit there afraid that the wheels are going to fall off and you'll careen into a tree. Next time you feel bumps in flight, just imagine you are driving along a bad pothole riddled road, make sure your belt is snug, and get back to your book or movie.
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