Haruyuki's second battle against Ash Roller, where he outsmarts his opponent by exploiting a critical weakness in his bike.
Haruyuki's first battle against Cyan Pile, where he unlocks the ability to fly, which is an ability that had never previously been seen in the Accelerated World and causes all of the spectators to shit their pants in surprise.
In Volume 3, Taku, by using deductive reasoning and the fact that he and Noumi aren't so different, finds out when Noumi will accelerate- during an English test, in which he had a suspiciously perfect score- and uses that opportunity to challenge him to a duel.
The moment when Haruyuki equips Gale Thruster in episode 17. Pretty much the best way to equip stuff in games ever.
In episode 22, Haruyuki actually uses his detective skills to figure out how Noumi manages to stay off the matching list. Noumi's Villainous Breakdown when he finds out merely seals the deal.
Episode 23. To wit:
Taku's Incarnate System training with Niko really paid off, as Cyan Pile was able to turn his pile bunker into a freaking sword! At last, he's now a true blue Duel Avatar.
Haruyuki managed to will himself out of his own Heroic BSoD, and eventually Black Vice's supposedly nigh-inescapable Death Trap!
Chiyu outsmarts Noumi by reverting his avatar back to before he stole Haruyuki's wings, meaning Haruyuki gets them back. Then he combines his wings, Gale Thruster, and Incarnation power to pull off what has to be the most epic Finishing Move in the entire series!
When he was performing his Finishing Move, the fuel indicator going all crazy only served to add to the effect. And yes (for those unaware), the "blow-like sound with a circular burst of air" was him accelerating beyond the sound barrier.
Lime Bell's Exactly What I Aimed At moment from her two-on-two duel in Volume 5. She uses her time reversal ability on a giant insect, turning it into an egg. One of her opponents accidentally breaks the egg open, causing the insect to hatch and exclusively target him, resulting in his demise, and his partner quickly getting double-teamed and picked off by the other two.
Silver Crow and Kuroyukihime's duel in Volume 5. He manages to get her to fight seriously for the first time in a long time, and get over her guilt over killing Red Rider. In the end, though, she triumphs, and finishes him off with "Death By Embracing."
During the operation to get Ardor Maiden out of Infinite EK state, Haruyuki's path is blocked by an attack of the phoenix guarding the gates of the Imperial Palace. So what he does? He escapes with Maiden to the inside of the palace. The same palace that a full-force Nega Nebulus failed to enter. As the saying goes: "Not knowing it was impossible, he did it."
Volume 12:
Chiyuri gets four moments of awesome:
She dives solo on the Unlimited Neutral Field, without telling any of her friends, despite the threat of ISS Kit users running around, for the sole purpose of searching a neutral Enemy with a laser attack. It took her three entire in-game days to do it, but she did it. Even Haruyuki is astonished.
While searching for the mob to help Haruyuki's skill training, she obtained a new skill herself.
She uses Citron Call to bypass Chocolat Puppeteer's restriction on her special skill, maxing its potential when they have to face four ISS Kit users.
Finally, she realizes the key differences between Taku using the ISS kit some time before and the situation with the members of Petit Paquet, after which she manages to use Citron Call Mode II to remove the kits and restore both of Chocolat's friends!
A bizarre Battle Royale quickly goes south when Argon Array appears to blast Ash Roller and Silver Crow with her lasers. Cue Big Damn Heroes moment by Aqua Current, of all people! Complete with Pre-Asskicking One-Liner:
Aqua Current: "You’re the one who’s going to be crushed by a level one and lose a lot of points."
In Volume 16, while it's clear that the heroes don't stand much of a chance against White Cosmos, the fact that Kuroyukihime was able to stand up to fight her is awesome. Since Kuroyukihime had previously said she wouldn't be able to stand against her parent and sister, the fact that she could bravely face her most hated enemy shows how far she's come.
In Volume 21, the Oscilliatory Universe team uses a deadly Incarnate Move that takes out most of the Nega Nebulus-Prominence alliance. If Silver Crow and Lime Bell hadn't been able to get away, the heroes probably would have been trapped in an Unlimited PK right then and there.
Infinite Burst
In the Territories battle at the beginning, Sky Raker and Ardor Maiden use some impressive teamwork against Iron Pound. Raker not only uses agile maneuvers to avoid Iron Pound's attacks, but also shows what she can do with her legs.
Also from the Territories battle, Viridian Decurion manages to fight Scarlet Rain and Blood Leopard to a stalemate until Scarlet Rain shoots a hole in the ground, causing him to fall into the subway below.
Silver Crow and Black Lotus performing a Combination Attack with help from Metatron to defeat Nyx.
