I'll occasionally sit through a certain movie for a second or + time, but it has to be a special one. There are a few, but not too many. "Apocalypse Now" comes to mind as one. "Gone With the Wind", "Godfather 1 & 2", "Great Escape", "Cool Hand Luke", "Big Country" and a few others.
A few nobody's probably ever heard of that I consider pretty unique are "Cat on Hot Tin Roof", "Baby Doll", "Wind Across the Everglades", "Nevada Smith", "Road to Perdition", "Hallelujah Trail". Some of these in the 2nd group are certainly not considered classics, but they each have a little something pretty unique about them.
Edit @ 9:30: to add these titles ....... "Night of the Hunter" and "Cape Fear" (original).