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 Goofy lets Max 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 The World's Biggest House of Yarn, one of the original stops on Goofy's fathers map. Goofy gleefully dragging Max inside in a fit of childlike nostalgia says it all.
Roxanne. 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. Likewise, how both react in a cute manner after getting a kiss on the cheek from each other.
Stacy, Roxanne's best friend, is completely supportive of Roxanne's interest in Max and does what she can to nudge the two together. She even drags away a girl who was hitting on Max, declaring "He's Roxanne's."
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. Seems 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".
While Stacy and Bobby is definitely a case of Pair the Spares, there's something oddly heartwarming about the way the two form a romance during the Powerline Performance. Stacy by flashing her braces, and Bobby lifting his shades.
The ending where Max formally introduces Goofy to Roxanne. Max is no longer embarrassed by his father's accident-prone behavior and feels comfortable introducing the girl he likes to him.
Also, the main reason for the confrontation being that Max decides to do the right thing and tell Roxanne the truth that his father does not really know Powerline. He admits that he said it to get her to like him, and expects her to reject him. However, Roxanne is surprised rather than shocked by this revelation, revealing that she already liked him, and comments that she liked the first time she heard him laugh. It is clear that she forgives him for being honest. Sure, performing with his favorite artist and being on TV may have been a dream come true for Max and worth all the risk he put into doing so, but the real victory was winning his high school crush over.
Mickey Mouse has two cameos in the film, one during "On The Open Road", and the other in a Freeze-Frame Bonus in the cheering crowds at the Powerline concert. If we assume Mickey and Goofy are friends in this continuity (as are Donald and Goofy, mentioned by Max), then he's cheering for his friend who unexpectedly turned up on stage to join the show.
In 2015, at D23 Expo in Anaheim, California, Disney held a 20-year reunion hosted by Disney producer Don Hahn that was attended by Bill Farmer (Goofy), Jason Marsden (Max), Jim Cummings (Pete), Rob Paulsen (PJ), Jenna von Oy (Stacy), and screenwriter Jymn Magon. 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. The crowd went wild.
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.