Once, inspired by a spate of movies such as "Raising Arizona" and "Chasing Amy", we tried to come up with a list of "gerund movies" for every letter of the alphabet. We didn't quite make it. There's a much shorter list of past perfect movies.
Another time, we tried to list movie titles that included
We also investigated movie titles made of duplicated words or even triplicated words.
And what about all those Joe movies? And movies with "Divine" roles?. And the surprising number of Mikado Movies, which refer to, or better yet, include scenes from, the Gilbert and Sullivan comic opera? Then there are the repotted movie plots.
An article in the New York Times described how a portion of the press kit for "The Green Mile" included a surprise movie ending quiz. Also, there is a very short list of questions in a Movie Quiz Questions.