For a non rated pilot, your options are limited. I would check out the ANA- air Japan contract as I know they hire a lot of non rated guys. Your problem with any of them is that most contracts want turbine pic time....not necessarily rated in the plane, but at least with command time.

Some of the other threads on here go into the problem with the dragon/Cathay route. It used to be great, but that well seems to be drying up as they no longer pay as much for housing and want mostly local pilots to be SOs.