The current short list:
Emirates Airlines - Dubai, UAE
Gulf Air - Abu Dhabi, UAE and Bahrain
Qatar Airways - Doha, Qatar
Air Arabia - Sharjah, UAE ( Start-up )
Etihad - Abu Dhabi, UAE ( Start-up )
Cathay Pacific - Hong Kong
China Airlines - Taipei, Taiwan
There are many others that have expats but may not be hiring or don't really advertise that much. Included would be:
Singapore Airlines
Dragonair
Korean
Asiana
Eva Airways
Saudi Arabian
The key aspect in most expat jobs is being a current and qualified captain on the type that you are seeking employment on. Only a very few airlines hire non-type rated pilots or will upgrade F.O.s those include Emirates, Cathay, and Dragonair. Eva and China Airlines have dubious provisions to upgrade cruisers and F.O.s.
Typhoonpilot