Inuyasha/Tear Jerker

In Inuyasha, Sesshomaru destroying the youkai that had impersonated Inuyasha's mother upon his orders but had a Heel Face Turn since she came to think of Inuyasha as her child per her motherly instincts. No wonder Kagome was pissed at that.
The episode with Mayu the angry ghost girl, whom Kagome helped to go to Heaven instead of being devoured by the flames of Hell ("Kagome-san... you think my Mama is still angry with me?" "No, she's not... she's still your sweet and gentle Mama, after all!").
There's the scene where Kagome, after her Fall Out with * both* Inuyasha and Kikyou that made her come back home for several days, fell to her knees in front of the tree in the Higurashi shrine, cried and finally admitted that she loved Inuyasha after all. Higurashi Mama's story of how she and Higurashi Papa declared their mutual love in front of the same tree, which also happens to be the tree Inuyasha was pined to with Kikyou's arrow, definitely does not help. ;-;.
Add Jakotsu's last moments, right in between his defeat to Inuyasha and Renkotsu killing him. He resigns himself to die but is happy anyway, because his second life might be over but he lived it at its fullest and had no regrets. .
- It's just a small line, but it's tearjerking to hear a smug snake like Renkotsu tell Jakotsu to forgive him right before he removes the shard, especially since he's the one that set up Jakotsu to be slaughtered by Inuyasha. There's no one around (or so he thinks), he just feels that he has to ask for Jakotsu's forgiveness. And when he does, he replies with nothing but a smile, basically saying "I know what you're doing, but it's ok."
- What makes it worse is at the beginning (or maybe the episode before it) Jakotsu and Bankotsu met for the last time. Bankotsu told Jakotsu that he was his only real friend, the only person he could really trust. *sniff*
The last few minutes of "Sango, Kohaku, and a Secret Garden." Kohaku and Sango's near-miss tugs on the heartstrings enough on its own, but Sango's return at the end of the episode, set to a swelling orchestral version of her musical theme, makes it a Tear Jerker.
The death of Kagura in "Wind," possibly the most beautiful and certainly the most poignant chapter of the manga to date, almost topping even Kikyou's death later in the series thanks to the very effective layout of the pages.
Kanna's death is also very sad, even more sad in anime which she finally found her emotion and her heart and know what they are.
The ending. Chap. 557: "I'm... not going to wish for anything. Inuyasha will come...! I believe in him!" In particular, pages 15 and 16
One of the chapters near the very end, whilst most of the gang are Fantastic Voyage-ing inside Naraku's giant spider body, has Sango and Miroku completely giving up all hope, and lying down together to eventually be killed together by Miroku's Kazaana/Wind-Tunnel/Air-Rip.
- Kanna's demise tugged my heart strings and would not let go. The entire gang calling for her not to give her life up for Naraku made it all worse...
In the anime, a mind-wiped Kohaku believed that Sango (who he didn't recognise or remember) had been killed - 'She's dead then, that woman...' - and starts crying without even knowing why.
After Mukotsu poisons Miroku, Sango, and Kagome. Shippo does his goddamned best to try to help them but can't seem to do anything. The pure look of helplessness on his face knowing he can't save his friends is heart-wrenching.
Oddly, Manten's death, at least in the animé. Yes, he and his brother, Hiten, were a couple of jerks who did a lot of terrible things, including killing Shippo's dad and trying to kill the heroes, but I can't help but cry when Manten, after spending his entire life trying to get a head full of hair and failing, wishing to be reincarnated as a bald guy again.
Sara from the episode "The woman who loved Sesshomaru" is a really tragic case. But I think she was happy before she passed on at the end of the episode, so I guess it might be more like a Crowning Moment of Heartwarming.
Though only in the anime for a single episode, Ayame manages to draw a tear when Koga finally remembers her. Koga's last line in the episode hits hardest, since he has spent the entire episode denying that he remembers her.

Koga: "I have no intention of losing to Naraku. Once I get my revenge, there's no assurance I'll be alive. Forget about the moon and the rainbow, Ayame."

And of all tear-jerkers, Kikyo's death. It's really too much for a woman to try to be strong and stoic when she was still alive, for her village.

Kikyo: "I must show my weaknesses to no one. I must never have doubts or demons would overtake me. I am human yet I cannot be human. We are quite alike you and I. You half-demon..... That is why I could not kill you."

- Then Naraku just decided to screw up Inuyasha and Kikyo's almost happy life by fooling both, and Kikyo dies with a broken heart and a grudge that would preside for centuries in Kagome's soul.
- When she should have been given at least a peaceful after life, a demon witch just decides to resurrect her, as a clay body that can no longer feel. Adding to that, the soul she got from Kagome was full of bitterness and anguish at Inuyasha's supposed 'betrayal'.

Kikyo: "To live is to die. To die is to live. My name is Kikyo. I am a priestess who is unable to leave this world and reach the sacred place. No, that is not entirely the truth. Once I was a priestess. Now I am but a corpse with a cursed, false existence. No matter how much I desire to do good and help others, the truth is I live off the souls of the dead."ally dies, her lines to Inuyasha are... so melancholic yet bittersweet. "

- Her death...

Kikyo: "I wanted to live as a normal woman with you, Inuyasha... and now I die a normal woman, without the Shikon, in your arms."

There was this Filler mini-arc about a male Youkai named Hoshiyomi and his dead girlfriend, the human Magical Girl Warrior Tsukiyomi who died many years ago, and whom Hoshiyomi hates because he mistakenly thinks she betrayed him. Not only there are parallels to Inuyasha and Kikyou, but it's a tear jerker from the start to the end. Specially the end, when Tsukiyomi manages to speak to Hoshiyomi through Kagome's body, but he's still too embittered so Kagome and Inuyasha have to finish him together.