An ex-girlfriend of mine had the same idea, though she awarded them wads (how many wads of Kleenex would be on the floor afterwards). This got us into a discussion of pornography, but the idea was the same....
As I recall, her top 5 were:
The English Patient
Stella Dallas (Barbara Stanwyck on the street outside her daughter's wedding was a favourite)
Camille (the last 5 minutes)
Brief Encounter (surprise)
and Roman Holiday (the last 10 minutes were her all time peak). She used to put in on just to have a good cry.
yours, Peter T.