I've only cried once.
I first saw TLK when I was 2 or 3, and at that point in your life you don't really appreciate death's true meaning or the impact it can have (something I didn't come to understand until I was 10 when my Gran died). Since I grew up with the movie, having had this outlook the first time, I knew it was coming and just accepted it as the course of the story.
Many years later, when I was 15, we watched it at my friend's sixteenth birthday party. I was literally crashing down from a major sugar high when the scene came on, and just burst into tears
It's become a bit of a joke now
So overall, no, I don't.