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Tear Jerker: Slam Dunk
Slam Dunk, in the end of the arc when Mitsui finally rejoins the team. The build ups on his past, his descent to be a Delinquent, and culminating on him eventually trying to destroy the club and gets severely reprimanded by... Kogure, in which he spouts off a lot of truth. And then there's Anzai coming into the gym and all of Mitsui's flashbacks come off together. In the end, this troper remembers he almost held a tear when Mitsui eventually fell to his knees, crying and said to Anzai: "I... I want to play basketball..."
Another of the biggest tearjerkers in the whole series is Sakuragi being reminded of his biggest failure... saving his beloved father's life because he was beaten up by the bullies that were threatening him in his way to the hospital. "My father... he had a heart attack.. JUST LET ME GO!" For a show that has lots of sports action and comedy, it has a surprising dose of Character Development.
Along with a combo of Heartwarming Moment, there's also Uozumi's past. To whit, he actually started out completely untalented and was constantly scolded for low stamina, bad skills, etc. It was so bad that Uozumi nearly gave up basketball, but then the now-Coach Sergeant Nasty Taoka... rather than scolding him like usual, just sat down calmly and then gave a heartfelt talk on how he's actually thankful that Uozumi is in the team and encouraged him to move on. As a result, Uozumi is able to keep up and eventually become one of Ryonan's top players and is the feared 'Boss Monkey' we all know and love.
Also a Crowning Moment of Heartwarming, tell me you didn't cry when Sakuragi got up and said: "I love it, and this time I mean it."