Ginyu's realisation that all his men are dead. Really made Vegeta into more of a bastard for denying him that moment.
Dende healing Gohan while saying he's the only person he respects and can really talk to.
Even though it was Played for Laughs, Vegeta mentions that the Kanassans miraculously repopulated.
At the end of episode 27, Vegeta gives the "Super Saiyan" speech to Freeza for a third time, only now, he's talking about Goku. The incredibly pained delivery of the line as he's dying makes it all the more awesome.
Though Freeza does show more tolerance to the stronger of his minions. Seriously, in episode 28 he openly admits to himself that he misses Zarbon.
Goku's concern for Vegeta before and after Freeza kills him.
Vegeta's whole "keep being awesome" thing to reassure Team Three Stars victory against Freeza was kind of heartwarming since it meant he didn't intend to kill them.
Goku burying Vegeta after he died is surprisingly not turned into a joke, bar Freeza's snarky comments.
Gohan running up and giving his dad a hug after the battle.
The entire post-Spirit Bomb sequence, really.
Until Freeza came back, sadly.
Kami remarking that it's "easier than you think" to work with Mr. Popo. In spite of the fact that Popo is terror incarnate it's clear that he treats Kami a lot better than the other 'maggots'.
Popo ranks Kami above his own poop. For him, that is high praise indeed.
He identified himself as Goku's friend when he showed up at the hospital.
Despite how he's treated Krillin throughout the shows run, Goku's reason for going Super Saiyan here is still the anger he felt from Freeza killing his best friend.
Just like the source material, Goku still warns Freeza to get down to avoid his energy disk.
The Namekians killing Guru for lying to them about who caused the famine, resulting in the deaths of many, many Albino Namekians. They clearly showed their disgust and rage at Guru for tricking them to do such a thing.
And right before that. Dende asking for a hug was adorable, especially in contrast to his Creepy Child persona.
How about Dende actually showing that he loves Gohan?
The Turtle's birthday party in episode 31. His thank you was just so heartfelt.
King Cold is much more broken up about Freeza being murdered than in the original work.
He also in general seems to be a bit of a Doting Parent to Freeza, much to the later's embarrassment.
Piccolo's Big Damn Heroes moment against Freeza, accompanied by Gohan's gleeful "Mr. Piccolo!"
The revelation that the Capsule Corps jacket that Future Trunks wears once belonged to Bulma. A little creepy since it is a jacket she made to show off her midriff, but still heartwarming.
When Krillin crossed Goku's mind, the first thing he asked was if something happened to him. After Trunks attacked right the hell out of nowhere and Goku blocked it like it was nothing, he simply repeated the question. Nice to see Goku cares.
The entire conversation between Future Trunks and Goku is this. Future Trunks has already been through a lot, so it's kind of sweet that he finally gets the chance to talk with his childhood hero.
He did this after hearing Yamcha would commit suicide in the future after finding out Bulma was pregnant with Vegeta's child. Given that his reaction to Freeza showing up on Earth was "The dragon wouldn't be happy 'bout that one!", that means a lot.
Listen to Yamcha's reaction to it as well. After suffering as The Chew Toy for so long, he was legitimately touched.
Jump forward three years. Everyone's together just before the androids are set to appear. Bulma has a baby that everyone knows is Vegeta's. At worst, he seems annoyed that everyone assumes the kid couldn't possibly be his. Seems like Goku really helped back there.
Yamcha returns the favor by taking Goku to get medicine when he has a heart attack.
This exchange between Gohan and Goku after Goku accidentally slaps Chichi through the house walls and into a rock, which shows that, despite Goku's neglectful parenting, Gohan still cares about him and loves him:
"Oh my gosh!" "Dad, run!" "W-what!?" "The worst she can do is ground me, now run!"
Goku and Piccolo have formed a genuine friendship as of episode 34.
Shown big time in episode 36. For a few moments, Piccolo is clearly concerned for Goku during his heart attack.
Episode 39. Android 17 threatens everyone to stay out of Vegeta and 18's fight, but Piccolo only responds that he doesn't really like Vegeta enough to do that. He does state, however, that he would help if it were Goku.
After Dr. Gero attacks the city with his eye beams in episode 35, he brags that he just killed the entire population. Even Goku realizes that Gero couldn't have blasted anyone that was behind him, and is stopped from pointing this out by Piccolo. Piccolo, a former villain, showed concern for civilians.
Krillin tells Tien to get off of Yamcha's case after the latter forgets to provide important information. One Butt Monkey has to look out for another, it seems.
Episode 37 has Tien and Piccolo taking jabs at Vegeta's blandly named Big Bang Attack, acting like friends. Nail notes that Piccolo's not one to talk, being Mr. Special Beam Cannon, and they exchange suggested names until Nail makes one that Piccolo admits is pretty good.
It turns out Future!Trunks picked up his mentor's catchphrase.
It's small, but the way Yajirobe cares about the possibility of Baby!Trunks being hurt by the Androids when he, the baby, and Bulma are flying out to the battlefield. It's a stark contrast to Bulma's 'meh, whatever' attitude.
Yajirobe: <holding Baby!Trunks protectively> You do know your kid's in the plane, right!? Bulma: Oh, he doesn't know what's going on. Yajirobe: Yeah, I don't think that's the point!
In episode 38, Piccolo sees how Vegeta treats Trunks, turns to Gohan, and tells his student that he's a good kid...who doesn't quite grasp what Piccolo fully meant by that.
Also, Bulma for once acting like a mother when she expresses concern and fear over Baby Trunks after the ship got blown up and Future Trunks saved them.
In episode 39, Android 16 acquires a hobby: Bird watching. Heartwarming considering the rest of him is a single mindedness to kill Goku. He even expresses disappointment at seeing them fly away.
Hell, even Android 17's reaction to him finding a hobby is somewhat heartwarming:
Android 16: The birds flew away. Android 17: Oh yeah? Android 16: I liked the birds. Android 17: Good for you man.
Yamcha being concerned and caring about Goku while he's suffering from cholesterol problems.
Goku is one of the few people Yamcha can call a friend.
In the previous episode, Piccolo blatantly said that he's in no mood to help Vegeta. Yet, he and Tien went into battle after Trunks did. Trunks was trying to help his dad, but they were clearly going in to help Trunks.
Toriyama, the bird Goku saved in the Cooler special, returns in episode 40. Apparently, Toriyama was very grateful for bring brought back to life because it actually taught a dinosaur to ride a ball like Goku asked it to.
Krillin is too scared to help the other Z warriors fight the androids, it's when they reveal their intention to kill Goku that he tries to force himself to intimidate them. Looks like the feeling between them is mutual.
Korin worrying over Yajirobe and, when Yajirobe finally calls, saying he's "not mad, just concerned" much like a lot of parents.
Yajirobe: ...I love you.
Korin: I love you too.
We see the beginnings of Android 18 and Krillin's relationship start to set in. Seeing him at least try to stand up to them, even though he's scared out of his wits, seems to endear him to Android 18, and she declares him "cute," even giving him a peck on the cheek before flying off with Android 16 and 17. And even after that, when Android 17 starts picking on her, she gets a little defensive at him. She brushes it off nonchalantly, but she's still on the defensive.
Android 17: The hell was that? You got a thing for dwarves now?
Android 18: What if I do? Societal definitions of beauty are BS anyway.
Piccolo flies up to the lookout and greets Mr. Popo and is greeted by the same, albeit as "Young Kami". Remember, most of the heroes are wary of Mr. Popo at best yet Piccolo can just fly up and talk to him no problem. And while it's obvious Mr. Popo doesn't generally treat people with much courtesy, calling Piccolo "Young Kami" is better then the insults he calls everyone else by, and is technically correct to boot. Seems Mr. Popo puts Piccolo up pretty high on the pecking order.
Admittiedly, this is diminished by the fact that Popo was tripping out on a gallon of LSD at the time.
In the Christmas Tree of Might special, Piccolo wishes Gohan a merry Christmas before being blown away. Brief, but touching.
At the end of the Bardock special, there is a montage of scenes from the original Dragon Ball series, showing Goku's youth to the main theme song, the actual end credits to the special albeit with CHA LA HEAD-CHA LA overlaid on it. Despite the silliness of the episode, it is nice seeing Bardock's sacrifice pay off.