This reminds me a bit of the trailer for The Impossible, with a white Western family placed in peril in an exotic Southeast Asian location.
I really hope No Escape offers more than the trailer suggests, because this looks like a movie that will play into a lot of unattractive prejudices about the strange and alien Far East — note that little cutaway of a fish being butchered on the street; we're not in Kansas any more! The father is presented as naively wanting to embrace a foreign culture, but it's his less trusting daughter who turns out to be right. Only America (or in this case, the US Embassy) is safe!
(H/t Slashfilm.)