The prom episode of Tiny Toon Adventures has several: the way Buster asks Babs to the prom and how incredibly happy it makes her, the two of them bringing Montana Max to the prom to cheer up Elmyra after he stood her up, Dizzy Devil's incredibly hot date Mitzi asserting she likes Dizzy because he's a "kind, sensitive, caring person," and Bugs saving his mentee Buster from being extremely embarrassed by his poor choice in dance moves.
Also Hamton's attempt to ask Fifi to the prom. He tries to break the ice by saying that some guys are shy asking out girls that they like. He then asks Fifi for input, only to scoff at how proms and dates are "sexist" and "outdated." Hamton says it's too bad she feels that way, because he was going to ask her to go with him. As he sadly walks away, Fifi (literally) lightning bolts toward Hamton, wraps her tail around him and kisses him, admitting to him that she thought no one would ask her.
"Thirteensomething" is probably the sweetest romantic episode for Buster and Babs:
Babs: I didn't think you missed me.
Buster: I did. I'm nothing without you. You're my better half.
Babs: Yeah, but my better half is nothing without your half.
Buster: Did you really mean all that stuff about your better half?
Babs: Lemme show ya. (cue makeout)
Also worth a mention is one episode where Babs goes to try her luck at an open mic night at the local comedy club. At the last minute, she finds out that she has to follow the performance of the in-universe version of Robin Williams. This makes her insanely nervous and when she does go onstage, she begins to bomb. Seeing this, the Williams Captain Ersatz comes back and helps her through her act, which gets tons of laughs. The episode ends with Babs giving him an enormous Glomp in thanks.
The ending of "Washingtoon", where the evil Moral Guardian is reunited with her "tooniness", who she hasn't seen in years. This gives her a sense of humor and she bounces off happily to Wackyland.
Just before Buster and Babs go to appeal before Congress, they stop in at the Lincoln Memorial. Babs reads off a quote from the Gettysburg Address, when Buster admits that it doesn't apply to toons and that they were a "lost cause." What follows can be considered the greatest motivational moment of Western Animation.
Abraham Lincoln:note even though it was later revealed to be Ronald Reagan talking to a teddy bear "Lost causes are the only causes worth fighting for... Stand tough in the face of adversity, let right be done, let truth be your guide, and most of all, never give up. Never EVER give up."
The Tiny Toons Christmas Special: Buster Bunny finds out that he really was important to the show, and he gets teleported back. After having this confirmed by Babs, he literally leaps off the film in joy, and gives Babs a super hug.
Also, during the first act of said special, Babs saw Buster whisper something to Cher, thinking that he was flirting with the later. At the end, Cher reveals that he was asking her advice on what to give to Babs for Christmas. Buster then gives one big kiss to his pink-furred co-star, causing the later to smile and literally melt into a puddle of goo.
The endings to "Armoa Amore" and "Love Stinks" Even if Furball and Calamity couldn't stand being around Fifi thanks to her smell, it's sweet how they both made sure she'd have someone new to chase so she wouldn't be left heartbroken.
Who can forget "Fields of Honey"? Not only does Babs bring Honey's reputation back to life, but in doing so, Honey's youth is restored and she's reunited with Bosko after so many years. Considering the fate of the actual Bosko cartoon, it's Heartwarming in Hindsight.
Hamton cheering up a heartbroken Elmyra in Sepulveda Boulevard after Montana insulted her.
The ending to "Turtle Hurdle" where Tyrone Turtle, after escaping from Elmyra and spending much of the episode trying to cross a busy highway, finally gets to relax in a pond.
When Sneezer the mouse is crushed to find out Plucky, who is his hero on the school football team, is selling out his team to their rivals. Turns out it was an act and Plucky was really helping Buster with a plan to win the game. One of the most touching if often overlooked scenes in the show is when Sneezer talks to Plucky before he reveals he was a Reverse Mole:
Sneezer: "Say it ain't so, Plucky. Say it ain't so."
Plucky: "It ain't so, Sneezer."
In "Wait Till' Your Father Gets Even" (part of "Toons From the Crypt"), Hamton loses his father, Wade's prized bottle cap collection in a bet with Plucky, and spends most of the rest of the episode worrying how Wade's going to punish him when he finds out. Towards the end of the episode, Wade calmly tells Hamton that he wanted to give him the bottle cap collection, just like how his father gave it to him, and that he knows he's sorry and hopes he's learned his lesson. The next day, they, along with Uncle Stinky, start a new bottle cap collection, which according to Wade, looks better than the first.
There's a scene in "Viewer Mail Day" (right before "Out of Odor") Where Babs, Buster and Fifi find a tearful letter of a sick little girl who asks for Fifi to visit her, the trio all show genuine concern and sympathy for the aforementioned girl and Fifi agrees to go see her. While we found out just moments later that it was Elmyra who sent the letter to lure Fifi over to her, it's still very touching to see that the Tiny Toons do genuinely care deeply about the welfare and happiness of their fans.
After being scared about having to fight Monty through the entire episode, Hamton gets the gumption to fight back against Monty and his cronies (in his own unique way) when he sees his friends being beaten up by Monty and company. Buster and Babs are quite proud of Hamton afterwards. Can double as an Awesome Moment for Hamton.
Hamton's interactions with his hero/mentor Porky. Porky does genuinely try to help Hamton get over his problems, and even lets Hamton close out the episode by popping out of Porky's signature "That's All, Folks!" drum.