Nice thread, Sara.

Here's a short list of films I don't mind watching over and over for some of the same reasons that've been mentioned above. (These aren't necessarily the films I consider to be the Best.)

Les Vampires - Feuillade
Apocalypse Now - Coppola
L'Atalante - Vigo
The Rules of the Game - Renoir
Chinatown - Polanski
Blue Velvet - Lynch
Red Desert - Antonioni
Mouchette - Bresson
Sunrise - Murnau
M - Lang