In Quest for Camelot Kayley defeats Big Bad Ruber by dodging out of the way of his strike at the last moment, causing him to put Excalibur back in the stone, a technique she learned from Garrett earlier in the movie.
In Kung Fu Panda, Po uses all the skills he learned in his training, like the chopstick fight, in his final battle with Tai Lung.
In the sequel, Po has some difficulty mastering Shifu's "inner peace" form. When he finally attains inner peace and gets the move right, he is able to use it to defeat Shen's battery of cannons.
In all fairness, it's doubtful Shifu himself could've done it.
The Incredibles has Violet Parr only able to do tiny force fields, even failing to save her family members from an exploding plane, before finally getting the hang of it midway through and saving everyone every time she uses it.
Dash already knew how to run, but he didn't know what superspeed could really do. He learns a great deal about his power during a chase sequence on the island, running from Syndrome's mooks, such as his ability to run on water. This is called back during the fight against the Omnidroid mk. 10.
In Cars, Lightning McQueen learns about backwards driving and opposite-lock drifting in Radiator Springs. Both skills prove crucial at the final Piston Cup race.
A three-second segment of a montage in Ratatouille shows that Linguini's a good rollerskater. This skill proves vital in the climax.
One quick gag early in Aladdin establishes that Iago can imitate voices. Later in the movie he lures Aladdin away from the lamp by pretending to be Jasmine.
In The Lion King early on Simba wrestles with Nala as a cub and he never beats her (he finally does as an adult), later he uses these skills to defeat Scar in the end.
The fact that Nala always pins him is one of these in and of itself; it's how they wind up identifying each other as adults.
About halfway through the first Toy Story film, Woody and Buzz Lightyear actually both get into an argument and fly out of the car they were in. During the said argument, Buzz actually slaps Woody in the face, causing it to spin 360 degrees. Woody then spins his head 360 degrees later in the film in order to scare Sid and save Buzz Lightyear.
Jim Hawkin's solar surfing which got him into trouble at the beginning of Treasure Planet proves to be vital and amazing in the climax when the Planet is self-destructing. He then uses a makeshift surfer using a sheet of metal and a severed cannon to fly back to a portal and change the destination to Montressor Spaceport. His resourcefulness, quick thinking, and Chekhov's Skill save the RLS Legacy and those on board from a very unpleasant demise. Small wonder why Jim is jailbait and Mr. Fanservice at the same time.
About halfway through The Iron Giant, the title robot is blown up in an accident, but immediately starts putting himself back together. At the end of the film, the Giant explodes again and is supposedly killed after being blown up by an incoming missile, and moments later, he immediately starts putting himself back together again meaning that he actually survived.
In The Swan Princess, early on while doing survival training Derek's friend Bromley is instructed to shoot an arrow at Derek's heart and in turn shoot the apple off his head he succeeds, later he uses this skill to kill Rothbart.
During their vacation in A Goofy Movie, Goofy teaches his son Max how to perform "The Perfect Cast." This winds up saving Goofy's life later.
In Brave, Merida uses some of her hated lessons (public speaking and history) to calm the three lords when they were seconds away from declaring war on each other. She also uses her not-so-hated skills of archery to help Bear!Elinor survive in the forest.
In Fun and Fancy Free, Bongo, being a circus bear, puts his circus acrobatics to the test to help defeat Lumpjaw.
In The Tigger Movie, Roo uses the Whoopty-Dooper-Loopty-Looper-Alley-Ooper bounce that Tigger invented earlier in the movie in order to save Tigger from an avalanche (that Tigger himself caused, ironically enough).
In Tarzan, the titular character at one point intimates the sound of Clayton's gun. This leads to a Moment of Awesome in the climax.