Never. Not once. Not in anything I ever watched, no matter how sad or touching or moving. No tears from Romeo & Juliet (the 1960s version); none from Gone With the Wind; none from Pride of the Yankees...
Although, now that I've reached Hormonal Hell Years, I will say that I tear up for sentimental scenes - any sentimental scene - in movies, books, tv shows and heaven only knows what else; if it's sentimental or sappy, I've got tears in my eyes. Go figure.