The part at the end of DKC when Donkey and Diddy are at the treehouse having fun with each other is quite heartwarming.
Earlier, when they enter the banana hoard (that room that normally triggers the "failure" cutscene due to the entire stash of bananas being stolen) and they find their huge mountain of bananas returned to them.
The ending of Donkey Kong 64 has a moment where DK falls asleep waiting for a very slow moving Cranky. It's only when DK is asleep that Cranky shows his soft side by patting DK gently on the head.
Cranky Kong finally joins Donkey Kong's journey in Donkey Kong Country: Tropical Freeze, instead of just sitting around whining about past games.
The ending has all four kongs celebrating by playing music together.
The fact Nintendo made a special announcement trailer for the portable and console trilogies returning to Virtual Consoles after mysteriously disappearing in 2010 shows a great deal of caring for fans; just look at the comments to see how many people are celebrating! They even retained Rare's logo in the ports, even though the company is now owned by Microsoft and Nintendo, as full rightsholder, could easily remove it.
Animated Series
The ending of "Speed"; DK is apologizing to Candy that his duties to protect the island always seem to get in the way of their dates. Candy, however, assures him that it's no big deal in song.
"Sometimes I feel like I'm in the way / But I know he's out there, saving the day"
In "The Kongo Bongo Festival of Lights" The Kongs and Kremlings have a holiday truce and even King K. Rool lets his minions go home to their families to have fun. He waxes about how he's looking forward to playing with his siblings and enjoying their mother's cooking.
Klump has no family to go home to, only a song from his early childhood. Meanwhile, Skurvy laments that there was someone dear to him that he lost long ago. Eventually it is revealed that the two are long lost brothers when they both know the same song.
In the same episode, when the presents are accidentally destroyed, Donkey Kong realizes that the true best gift of the holiday is being with his family.
At the end of the episode, Klump agrees to go and live with his brother on the high seas as a pirate. K. Rool comes back and forbids it, and begins verbally sparring with Skurvy over where Klump will go. Klump realizes that K. Rool wants him to stay and is completely touched.
The episode "Speak No Evil, Dude"; DK is given a Sadistic Choice where he has to either stop the entire island from being blown up or save Diddy by finding him an antidote for a life threatening disease. DK resolves to somehow do both because, to him, the island isn't worth living on without his little buddy.
Dixie and Klump's friendship in "Klump's Lumps," and how Klump couldn't bring himself to betray her.
In "Baby Kong Blues", K. Rool decides to raise Baby Kong as his son and heir. While obviously completely unqualified to raise a baby, he quickly grows attached to the child, singing him a sweet lullaby about how he's his "wittle prince, [his] wittle son", and how one day when he's grown, he'll take care of his father (K. Rool) when he's old and needs help. It's surprisingly sweet, if still laced with K. Rool's usual megalomania. And at the end of the episode when K. Rool surrenders the baby, when he thinks he hears him in his lair again, K. Rool grows hopeful as he already misses him.
Just the fact that DK's nickname for Diddy is "little buddy," which is something taken right from the DKC manual.
"A Thin Line Between Love and Ape":
When Bluster arrives at Cranky's, he reminds him of his longstanding feelings for Candy. Cranky has none of it, reminding him that Candy can't stand him, showing he's looking out for her.
In a weird way, the fact that King K. Rool is only willing to use the love potion to get the coconut, and not to force anybody into a non-consensual relationship like Bluster planned for Candy. He may be a villain, but he evidently has some standards.
The entire treasure hunt episode is one for DK. He initially refuses to go so he doesn't miss a date with Candy and only agrees when he realizes the treasure could be used to buy a fantastic present for her. And at the very end when the treasure is a dud:
Candy: Well, there goes my dream of buying the barrel factory. DK: And there goes my dream of buying it for you. But who needs treasure when we've got each other? [the two share their only uninterrupted kiss in the series]
After everything DK went through in "Kong For A Day", Cranky not only feels he Was Too Hard on Him when they're under attack, but he already thought ahead in case DK got too weak from a lack of bananas, revealing the suitcase he gave him was full of them.
Cranky: I couldn't let you go without packing you a couple of bananas for the road. DK:Let me at 'em!
In "Vote for Kong-fidence", Bluster demands a fair election for the position of future ruler of Kongo Bongo Island. Inka Dinka Doo agrees and says everyone is allowed to be a candidate. Unfortunately, that means King K. Rool is a candidate, too. After tricking DK into being a bully so that no one will vote for him, K. Rool is sure to win the election, but he caves into his evil ways, meaning DK gets to salvage some votes. But no one wins since it's a tie and the tie-breaker is Krusha. And who does Krusha vote for? Donkey Kong. Why? Because DK promised not to hit him during his campaign. It's downplayed since DK only agreed after adding the condition that he'll only avoid hitting him if he surrenders the coconut, but it shows that despite being The Brute, Krusha's heart is actually in the right place all things considered.
In "Orangutango", King K. Rool won the titular dance contest and gets to make one wish on the Crystal Coconut. As he does so, Cranky actually comforts DK by telling him that it's not his fault, which is a nice change considering how often he chastises the big ape.
In "Four Weddings and a Coconut", when K. Rool hears that DK and Candy are getting married, he's actually delighted and is looking forward to attending, albeit as a pampered guest of honor. He's genuinely hurt when he learns he apparently wasn't invited. And the fact that Candy was willing to invite the Kremlings to the wedding shows the Kongs consider the Kremlings Friendly Enemies at worst.
for the portable and console trilogies returning to Virtual Consoles after mysteriously disappearing in 2010 shows a great deal of caring for fans; just look at the comments to see how many people are celebrating! They even retained Rare's logo in the ports, even though the company is now owned by Microsoft and Nintendo, as full rightsholder, could easily remove it.