The song "Nobody Else But You." And right before that, Goofy and Max are having a heated argument while going down the rapids, which calms down just as they begin to reconcile.
Max: I'm not your little boy anymore, Dad! I'm grown up! I have my own life now!
Goofy: I know that! I just wanted to be part of it! (long pause) You're my son, Max. No matter how big you get, you'll always be my son.
When trapped in their car by Bigfoot the only thing Max and Goofy can eat is a can of alphabet soup cooked on the lighter, which causes Goofy to laugh and remember when Max was younger and used to write words with the letters (like "Hi Dad", so they had coined it "Hi Dad" soup), and then Max jokes with him about spelling complicated words and phrases. Then Max eats the soup and Goofy smiles at him for having a soup mustache. Eventually Max hands Goofy the empty cup, where he had written "Hi Dad". Goofy cries happy tears as he watches his son fall asleep.
And Goofy pours all the soup into the cup he gives Max, not taking any for himself. It's a good example of the lengths and sacrifices parents will do for their children.
When Max and Goofy have already gone over the waterfall, and Goofy's fishing rod's handle has just broken, sending him down into the abyss, Max whirls the broken rod around, copies Goofy's "Perfect Cast" absolutely flawlessly and ends up saving his father. The resulting pride brings Goofy to tears and leaves him all but speechless.
The montage where Max lets Goofy choose the stops on the road trip, because his dad was taking him where he wanted to go up to that point. Specifically the part where, after seeing Goofy having a hard time at the monster truck rally, Max decides to take him to a house of yarn.
I love Max and Goofy moments, but what about all those cute scenes with Roxanne? Funny/heartwarming all the way.
That, and the fact that, unlike the other students (with the exception of his friends, that is) who bully Max and make fun of him, she's a very friendly Nice Girl toward him and helps him get back to his feet after he falls. Plus, she fell for him the moment she heard his laugh for the first time. Awww. Likewise, how both react in a cute manner after getting a kiss in the cheek from each other.
Early on, Goofy mentions mambo king Xavier Cugat and even does a dance, embarrassing Max. Later when Roxanne accepts Max's invitation to go with him to watch the concert at Stacey's party, how does he react? Yells "Everybody mambo!" and does the same dance. Guess the apple doesn't fall too far!
After being briefly embarrassed, Max eagerly encourages his dad to do the perfect cast as a dance step. When Goofy and Max appear onstage, Powerline, who was obviously surprised that they were there, doesn't complain or call security like most performers would do, instead he lets them dance with him and seemed pretty impressed with Goofy's moves.
The reactions of Max's friends after Max ends up on stage. Bobby goes from not buying his story to bragging to everyone that he knows Max. Roxanne, who was sad that Max hadn't shown up yet, remains silent but gets a huge warm smile. PJ, who was unhappily cleaning the floor, glances at the screen and immediately grins widely and cheers wholeheartedly that Max managed to achieve his goal.
The song "I2I" is heartwarming in its own right: It's all about reconciliation and reaching an understanding with those you love - or, as the song puts it, "seeing it I2I".
An Extremely Goofy Movie
The scene from near the end where Max moves towards the finish line with Goofy happily looking on.
Tank: That's some kid you got there.
Goofy: You're wrong, Tank. He's not a kid anymore.
How about the fact that they helped Tank in the first place. The dude was Brad's enforcer throughout the film, and they were willing to help him despite being in a GIANT FLAMING X! That says a lot about these two.
Goofy, who had been a single father for years, finds a girlfriend right at the time that his son left the nest, so that Goofy won't have to be lonely in the following years. She has a great deal of chemistry with him and can even finish his sentences. Goofy goes so far as to say that the first date he had with her was the best night of his life. They do have some strife, but they manage to patch it up rather simply. She motivates him to work hard to graduate, and they're still together at the end of the movie, driving off into the sunset.
Early on, Goofy hands down Max an heirloom, an old-fashioned counting machine. Even though Max is less than impressed with the gift, he still thanks Goofy and tells him it means a lot to him.
When Max gives Goofy the X-Games trophy, telling him to read the inscription, which is a Call Back to the first film: "I might not be your little boy anymore, but I'll always be your son." (Cue big hug between the two)
When Max threatens to transfer, PJ immediately runs over to stop him, relapsing a bit from his Character Development. Even when everything's going right for him, he still shows Undying Loyalty to Max. When he doesn't succeed, Bobby and even Beret Girl do their best to convince him to stay. Max assumed PJ and Bobby didn't want him on their team because he lost at his best event but that group of friends is tight.
When Max is packing for college, Goofy places Old Stuffed Bear in his suitcase, only for Max to take it out. Even with Goofy's urging, Max still refuses to take a teddy bear to college and even goes as far as to throw it at the wall. But right when Max is about to go to sleep, he picks Old Stuffed Bear off the floor and holds it close, deciding to sleep with it one last time.
In 2015, at D23 Expo in Anaheim, California, Disney held a 20-year reunion that was attended by Bill Farmer (Goofy), Jason Marsden (Max), Jim Cummings (Pete), Rob Paulsen (PJ), Jenna von Oy (Stacy), and producer Don Hahn. Wallace Shawn (Principal Mazur), Pauly Shore (Bobby), and director Kevin Lima all sent in video messages thanking fans for turning A Goofy Movie into a cult classic.
Particularly heartwarming is the fact that Jason Marsden, whose singing voice was dubbed by Aaron Lohr, finally got to sing On The Open Road with Bill Farmer.
And perhaps most heartwarming of all is that, as a surprise for the fans, the people who put the reunion together staged their own Powerline concert, with Tevin Campbell returning to sing I 2 I, complete with back-up dancers. Videos of this performance surfaced online, featuring the cast members dancing along in the background, the crowd going nuts, and the video projection showing memorable dance scenes from Disney films.
This last one is most heartwarming when you consider the fact that the people in charge of this reunion had to get in touch with Tevin Campbell and convince him to come back and that Tevin Campbell, who's maintained a pretty low profile for many years, was willing to reprise his role as a thank you to the fans.