Visible crew/equipment: When the ambassador and the photographer are in the cemetery getting attacked by the dogs there are men standing behind a tree. I'm assuming they're the trainers - they are located when the photographer is trying to hop the fence. Look in the back right hand corner - there are about two or three men standing there.
Trivia: The smile that Damien gives at the very end wasn't scripted. Originally, Damien was supposed to "look really mean," but Harvey Stephens couldn't keep a straight face: he started to smile, then laugh. Richard Donner decided that the smile made Damien look even more evil, so it stayed in the movie.
Trivia: Richard Donner was originally wary of sending the script to Gregory Peck. Combined with the original ending, in which Robert kills Damien, and the fact that Peck's son had recently committed suicide, Donner thought offering the film to him was distasteful. But to Donner's surprise, Peck agreed relatively quickly to do the film.
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