I can't believe it hasn't been mentioned yet, but maybe I'm just biased because I just watched it, but towards the conclusion of Sling Blade, when Karl is talking to Charles about how someday he will be happy and this his life will be as it should right before the music rises and we know Karl is going to complete his fate by killing the abusive boyfriend of Charle's mom (played incredibly well by Dwight Yokem). I can be a fairly jaded individual, but that scene chokes me up everytime. I suppose it's just the whole quite scene between a boy and his surrogate father/friend and the finality of it all...then when he pulls the bookmark Karl made for him from his stack of books as he walks away. Touching stuff, and a great movie in general.
Oh, and End of Evagelion was just an all-around depressing mind fuck of an anime movie. While the series itself is certainly flawed, the movie conclusion is certainly something to behold.