Most airline safety rating reports that have come out from outside ranking services use concepts that do not fairly compare airlines. A couple of primary safety ranking items are approval by the FAA and EU for landing in the USA or Europe. For regional Asian airlines who have no plans to ever fly long hauls there is zero reason for the expense and work involved. This lack of FAA or EU paperwork does not make them any more or any less dangerous.
Likewise for AirAsia Indonesia's "ban from flying to the EU", they don't fly there anyway and were caught in a blanket ban of Indonesian airlines due to the EU's perceived shortcomings in maintenance and training in the country as a whole.
Same applies to the recent "yellow cards" issued against Thailand over air safety. They were not issued to the airlines, rather they are warnings to the government, as they feel the government doesn't have enough staff and checks in place. But the major airlines like Thai Airways and AirAsia X all meet the EU rules and have their landing rights (Thai also has FAA clearance, I believe AirAsia X may as well but not sure).
In the long run Asian based airlines are just as safe as European based airlines. AirAsia lost the plane in Indonesia due to pilot error, German Wings lost one recently due to pilot mental issues.
I have flown Air Asia quite a bit within Thailand, as well as Bangkok Air and Thai Airways. I feel just as safe sitting on their aircraft as I do flying with KLM or Delta.