I first watched Pulp Fiction when I was ~13. I had it on DVD and didn't know what to expect. Watched it alone at the farm when I was just bored. I was blown away. For some reason I watched each scene twice in a row, first the scene, then again with the directors commentary. I don't think I ever did that again, but it was one of the most enjoyable movie experiences of my life.
I watch movies with intensity - 110% pure focus (and never, ever with any distractions). So, it's extremely rare I watch any movie twice. Maybe a total of around five movies ever, usually viewed years apart. Pulp Fiction is the only movie I ever watched twice on consecutive days. I saw it in the theater the first week it came out and went back again the next night.
Of course, it's obviously an incredible movie but the key reason for my immediate rewatch is that the film's structure is just so fascinating. BTW, Blade Runner is the only film I've watched five or more times.