Otis and the other animals finding out the Farmer wasn't going to eat them in "Escape from the Barnyard."
"The Farmer Takes a Woman" is full of these.
After noticing how much the Farmer misses his wife, the animals all band together to make a dating site profile for him.
The Farmer gets a new girlfriend from the site, but she turns out to be a rather selfish Rich Bitch who wants to convert the barn into a space for her stuff and put all the animals into a smaller space. Otis assures the group that they should just endure it for the Farmer's happiness... and then promptly changes his mind when the girlfriend in question reveals that she's a Gold Digger who plans to take all the Farmer's money and leave him.
The scheme of the day ends up being to disguise Pig as a new, wealthier paramour and then trick the lady into taking two tickets to a fancy cruise where they'll never see her again, but it backfires when Pig falls in love with her. When he tries to confess his love (and the fact that he's a talking pig) to her, she's furious about the fact that he's not rich. The other animals immediately rush to his defense, and are willing to risk exposing the fact that they can talk if it means that both Pig and the Farmer can be safe from her.
The girlfriend proceeds to put on her previous Nice Girl act to convince the Farmer to choose her over the animals. At first it seems that it worked and he picks her up bridal style... only to throw her back into her car. When she expresses confusion, he tells her in a simple, calm manner: "My animals are my family, woman." After she drives off in a huff, the Farmer pats Otis on the head and calls him a "good cow".
Finally, as everyone is partying, Abby tells Otis he did the right thing, but she wishes they could've done something about the Farmer's loneliness. Otis assures her it'll be fine. We then see that the Farmer ended up receiving one of the cruise tickets the animals got, and he's shown flirting with a couple of very interested ladies while playing shuffleboard.
When Pig (under the disguise of Snotty Boy) comforts Nathan Beady in "A Tale of Two Snottys". It's the only time anyone feels sympathy for the poor uncle of Snotty Boy.
"Otis vs. Bigfoot":
It's really sweet to how Bigfoot so readily accepted by everyone at the barnyard (minus Otis) and Bigfoot's relationship with Abby proves to be really sweet.
After Bigfoot saves Otis from a tranquilizer dart shot by Mrs. Beady, Otis realizes that he had been wrong about Bigfoot all along and he and Abby drag him back to the barnyard.
At the very end of the episode, after Otis and the rest of the gang have saved Bigfoot from being taken away by the police, Otis apologizes to Bigfoot for how he acted towards him and says that he can stay at the barnyard for as long as he likes. Bigfoot (with Abby translating for him) is touched by the offer but decides to leave anyway—not because he doesn't want to be there, but as a way to protect Otis, Abby and the others (feeling that he'd be a danger to them). So Bigfoot leaves, but not before sharing a heartfelt goodbye with everyone.
In Baxter's debut episode, as soon as the others realize "Duke" is an imposter, they immediately want the real one back with no hesitation whatsoever. Because (as they admit later) even if Baxter is much more fun, Duke is still a part of their family.
When Nora notices Snotty Boy's cousin Bernard physically abusing him, she forgets all about filming Otis and doesn't even notice him taking her video camera out of her hand, demonstrating that her love for her nephew is far stronger than her desire to expose the animals.
It's played for laughs, but it's still rather sweet to see Everett reuniting with his old Indiana Jones-expy owner at the end of "Everett's Treasure".
Quite a few in "My Beautiful Freddy".
Freddy allows himself to be shocked to make his friends happy.
The other animals (Mainly Otis) being nervous to keep shocking Freddy.
Freddy's chat with Albert Einstein.
Nathan accepting Nora back with open arms in "Beady and the Beasts". It really shows that, as crazy as he thinks she is, he still loves her.
Nora herself going through a (temporary) Heel–Face Turn and befriending the animals at the barnyard. She annoys them, yes, but she still enjoys their company herself and even apologizes for how cruel she had been to them in the past.
A small one for Otis; he reluctantly allows Mrs. Beady to stay at the barnyard, but is ready to throw her back out when she insults Pig.
Bessy falls in love with one of the alien invaders from Aliens, until he freezes Pip in carbomite, then she won't have it.
