What is the safest plane to fly? According to Dr. Todd Curtis, Ph.D., the most recent version of the 737 is the safest airliner in the sky. To be specific, that means models -600 through -900 models of the 737.
Todd's statistics, up-to-date through 2008, show these late-model 737s have flown over twenty-three million flights with only two accidents in which there were passenger fatalities. The Airbus A-319, 320, 321 models are a close second, followed by the previous generation of 737s, the Canadair CRJ and the MD80/MD90.
Though an accident occurs only once in several million flights, many people have anxiety that their flight will be that one that crashes. Research by Boeing shows that one person in three is afraid to fly. Though risk is far higher when driving, anxiety is not a problem when behind the wheel of a car. But when not in control, and when there is no means of escape, anxiety can make it difficult or impossible for a person to fly. As both an airline captain and licensed therapist, I have worked with many anxious fliers to help them deal with the fact that safety is not absolute. Tips on dealing with flight anxiety are at http://fearofflying.com/resources/top-10-tips.shtml
A listing of statistics on all airliners is found at http://www.airsafe.com/events/models/rate_mod.htm