Once again, Quinton Flynn shows how awesome he is. Do Disney and Square Enix get a Moment of Awesome for picking Flynn as Axel's voice actor?
It's even better when you realize at this point, Xion had inadvertently taken on half of Roxas's strength in addition to her own. Axel goes up against her one-on-one, and when we see them again, he's won - Xion's unconscious, and Axel is at his utter limit, but he won.
Opening to the Believe mission, which lets you play out Deep Dive, by giving you the control of a vastly powered up dual-wielding Roxas, who can pretty much One-Hit Kill everything. You still know how it is going to end... but you play it anyway, determined to take down the Organization all by yourself. "Believe" indeed.
Roxas deciding to fight the Organization by himself earns another one. These are the guys that give Sora trouble, and Roxas goes to fight them without anything more than two Keyblades.
Roxas:I am DONE WITH THIS.
The escape from the Castle That Never Was is pretty awesome too, in which a weakened Roxas takes down Saix, one of the stronger members of the Organization, who spent the whole game up to that point kicking Roxas and Xion, seemingly without breaking a sweat.
Beast's one-man-war against the heartless trying to invade his castle is mostly an Offscreen Moment of Awesome, but he does have one good moment partway through the game. After Roxas and Xion accomplish their objective of defeating a Neoshadow in Beast's Castle, two more pop up right behind them... which are promptly ripped to shreads in one shot each by The Beast flying in out of nowhere.
Then there's the next story mission taking place in Beast's Castle. Roxas hands Xion his keyblade, which also doubles as a Crowning Moment of Heartwarming, and decides to improvise by fighting using a stick, which he then proceeds to beat the living hell out of the Heartless with... astick! For context, Sora in KH1 tries twice to defeat Heartless with a Wooden Toy Sword, and only on the second attempt is he powerful enough to even scratch them and thus has to rely upon the Beast to make it out alive. Roxas defeats several dozen Heartless with an ordinary stick with hardly any more effort than it would have taken him using a keyblade.
From the manga is when Xigbar, Xaldin, Demyx and Luxord join Roxas and Axel in confronting Riku in Twilight Town. That's right... a six-on-one battle against a blindfolded imposter. Despite being outnumbered and handicapped, Riku escapes by tricking his opponents into attacking each other in a comical matter.
More awesome if you remember that all of them apart from Luxord are considered That One Boss in the games. Riku just figured out how to easily incapacitate them and avoid the difficulty that Sora would go through when he wakes up.
And earlier, we see that Demyx was beaten by Riku in an Offscreen Moment of Awesome for the latter. Demyx is infamous for his water clones. Somehow, Riku was able to beat Demyx and the water clones, while blindfolded, to the point where Xigbar calls him "weak", showing how much of a threat Organization XIII considers him.