BBJ rated
Asia and China is an interesting one.
To be honest, any 737 driver has a shot of getting a job interview there.
A lot of the operators are actually more like airlines in the operations. They just have nice jets that are genuine VIP instead of a corporate jet layout.
If you can pass the astronaut Chinese medical, the exams and can handle living out there, then it might be a good move.
First port of call would be Sino and DeerJet (or whatever they are calling themselves this week). They seem to be permanently recruiting, but that should tell you something in itself.
If you're looking for a genuine BBJ operation that isn't more like a management company or airline, being 737 rated won't cut it. It's all about time in the BBJ, and networking.
Reputable and good BBJ operators don't advertise.
Just my opinion of course.