Out of these movies, I've only seen (besides Forbidden Games, my own entry) Eternal Sunshine - which I really liked but didn't think it was a tearjerker, and The Notebook, which is so-so. But I voted, as I often do, for the avatars rather than the movies - I haven't seen Testament or The Road, but those are strong images - heck, I don't even know what Testament is, but that pic is great.
Never seen Testament? You should. It stars Jane Alexander as a mother in a small Northern California town. After a nuclear attack, they are left isolated and have to manage day to day on their own. It's a very simple, quiet and heartbreaking movie. Watch it some day, alone, with a box of Kleenex.