Not too much IN the airport but I find sad movies on the plane oddly moving. I don't know why. They seem to hit me even harder than they do on the ground either watching a DVD or in the movie theater. I can't remember the last time I cried watching a movie on the ground but I can distinctly remember 3 movies I saw in the air that did:

Reign Over Me (I believe on some JAL flight). There's a certain scene there that sent shivers down my spine. I looked over at my seatmate (older male) and he and we were both wiping our eyes. (This was not VOD)

Life: Tears in Heaven: Also on some JAL flight. Japanese title is Tengoku de kimi ni aetara. Touching movie of a Japanese windsurfer living in Hawaii.

Virgin Snow: Hatsuyuki no koi. On some Malaysian airlines flight. Japanese / Korean film. Korean guy moves to Japan and falls for Japanese girl. But all is not so simple...

It's really hard to find the Japanese movies scene on foreign carriers as DVDs with proper Enlish subtitles. If anyone has a source, please let me know!