In Asia - I trust only ANA, Cathay (Second Best), JAL and Singapore Airlines (Best and best looking Stews). The rest have maintenance and pilot issues.
In Latin America - Only LanChile, the rest, pray really hard.
In Africa - South African Airways, otherwise take a boat and walk.
In Europe - Most everyone, accept a few low coast carriers. Lufthansa, BA, Air France and Virgin (Best).
In the Middle East - Etihad (no one close, mile high club in first class, but only costs about $18,000), Emirates (Among the world's best)
In the US - Everyone is safe with the exception of Allegiant and Spirit (accident waiting to happen). Also don't fly on a ATR in bad weather.