The list of the safest airlines were released by an organization called "AirlineRatings.com". Quantas Airways of Australia leads the 407 airlines in the world. Japan Airlines, All Nippon Airways, Singapore Airlines and Cathy Pacific are in top twenty from Asia. Others include American Airlines, United Airlines, KLM and Lufthanza, just to name some. The organization also named top ten low-cost airlines (LCC). Among them I know only Jetstar. On the other hand airlines of the lowest safety ratings are all from Nepal, Indonesia and Surinam.
This rating is based on the audits by aviation's governing bodies and lead associaton as well as government, and the airline's fatality records.
The safety of airport is also great concern of many travelers, because there were several terrorisms occurring at the airports such as one at Brussels airport in Belgium in march this year. To my surprise the world's safest airport is Ben Gurion in Israel. There has no terrorist attack at this airport since 1972 when Japanese Red Army killed and injured many people. The safety of this airport is due to heavy security measures. Unfortunately those measures are sometimes criticized as racism.
The top twenty of saftest airports:
The top ten safest low-cost airlines: Aer Lingus, Flybe, HK Express, Jetblue, Jetstar Australia, Thomas Cook, TUI Fly, Virgin America, Volaris and Westjet.