Jade Air Cargo...1000TT and 744 typed are the only listed FO reqs. It was on cl350 and wasinc contract agency very recently. From the level of recruitment KAL seems to be doing, and the emphasis they also place on being typed, I would think you could get a shot there as well with a 744 or 777 type and some good experience.
Eva Airways and Cathay (SO at Cathay) would prob give you a good shot too if you had their reqs and a 744 type.
And if you're "adventurous" and single...if you have a 73 type (esp. NG), you've got a real good shot at Arik Air Nigeria from what I've heard.
Lots of people out there forget that foreign countries have a slightly different way of operating, in that a type and time on type override turbine PIC...things are much more a/c specific, whereas in the US it's more about TPIC. I don't think I've seen any FO jobs in foreign countries that require any certain level of TPIC...but all of them require type/time on type in that seat position.
A free type is a free type. I'll do mine on a biz jet if I ever get furloughed.
FYI that place in DEN is called FTI if I recall. And there is some place in Seattle that's a pretty good deal on Alaskans sims...can't remember what it's called.