There are two vitally important organisations in this world who are responsible for the safety of the airlines and their passengers.
Founded in 1945, the International Air Transport Association /IATA is the global representative of the international scheduled air transport industry. With over 260 members from almost 140 nations, it is the prime vehicle for inter-airline cooperation in promoting safe, reliable, secure and economical air services.
As for the International Airline Passenger Association/IAPA, its main goal is to represent the views of the passengers in aviation issues. Pursuant to its main objective, the attainment of a 0 flight accident level, it promotes the continued study and assessment of all factors that may affect accident rates, including pilot training programmes and systems, aircraft engineering and configuration improvements, more efficient and practical cabin safety and evacuation concepts and effective air traffic control. It also offers its members up to US$2,000,000 Travel Accident Protection Insurance. An internal office of Government and Industry Affairs formulates the organisation's policies in areas such as safety, health, cabin environment and quality of passenger services.
Two US Agencies involved in Airline Safety are
FAA - Federal Aviation Administration
TSA - Trasport Security Agency
The websites provides a lot of information about Airlines and Airport Security and instructions about travelling to and from USA and on US based airlines.