I'm in Baghdad right now, and we just got a boat load of frenchies here, all in business suits.
Other airlines that fly in here are Iraqi Air, Etihad, Gulf Air, Fly Dubai, Turkish, and Emirates did for about a month this summer. Air France is scheduled to come here soon. Viking has been coming here, but it must not meet the ultra narrow description in the article of "western Europe".
Delta and United service the area from Kuwait. There are military charter flights that leave here for there.