Interesting topic. We do have a Chinese place near us, in a town with a little Chinese community, and they have two menus - one with "proper" Chinese dishes like they'd make in the family's town in China, and one with the typical dishes you'd see in an American Chinese restaurant.
When we travel, I just eat what sounds good at the time. The restaurant experience is so different to us in Europe, apart from the fast food stuff, so we just go with the flow. I do sometimes like to order American dishes overseas, just to see how they'll interpret them. I remember way back in the '90's, before it was trendy, ordering "classic American-style BBQ ribs," and finding chunks of mango in the sauce. Of course, those kinds of things aren't that hard to find nowadays, but it was a little unusual then, and especially marketed as "Just like your Gran would make" - my grandma wouldn't have known a mango if one came up, kissed her on all four cheeks, and said, "Hi, I'm a mango!"
I also had hot wings once, "straight from America!" - and they were whole chicken wings, tips and all.