Do trailers to video games count? No? Damn, I can't yank out "The Last Guardian".
Well, "Earthbound" did it for me. With the combination of the final battle and the end credits song "Smiles and Tears", I can always shed a tear for that.
I guess my first little sister I ended up saving in Bioshock does it for me too. I have a deep psychological issue about protecting things, so seeing a little Sister and having the option to save her or kill her never becomes an issue, and the result of seeing a little girl come out of it makes me emotional.
I can also relate this to Ico and King Kong: The official Game of the Movie. I do not know what it is about with me, but I'd save them every time and not have it feel like a chore to me.
Oh, and Splatterhouse. The Original Splatterhouse with that one boss fight...