Please don't list this on a work's page as a trope. Examples can go on the work's YMMV tab.
Tear Jerker: Lone Wolf and Cub
Quite common. In one particularly notable example, Itto gets an assignment to take down a female fighter who has gone on a killing spree through the ranks of a feudal lord. During the encounter, Itto finds out that she is killing the many samurai in order to draw out a samurai officer who previously raped her. Even though he is bound by contract to kill the woman, Itto compares her quest to his own and stands back, allowing the woman to kill her tormentor, getting her revenge. Out of respect she then faces Itto in formal duel, even though the result is obvious. After having slain his target, Itto states that she can finally be at peace "in a place where nobody will ever harm her again". He then grants her a warrior's funeral and sheds Manly Tears.
Ittou's speech to Daigorou shortly before the final battle in Lone Wolf and Cub. ("Though my eyes shut, my lips close... do not fear. In that world of rebirth, I'm still your father. In that world and all worlds, *you* are my *son* !") Daigorou remembering this speech at the end of the battle, when realizing his father is dead, is even worse.