Episode 3: In Palms Deep, the trio encounter one of the new bosses of Novasphere Pioneers; a giant rat-serpent thing. They deal with it like The Team they are: Naotsugu draws its attention, Shiroe snares it and buffs Akatsuki, then she delivers the killing blow.
It should be noted that Shiroe, Akatsuki and Naotsugu are extremely good at fighting through the first 4 anime episodes without a healer player present.
Shiroe and Nyanta don't need to communicate to know The Plan because they work so well together. By synchronizing attacks and exploiting Thorn Bind Hostage's cool down time they bring Demikas' HP to One. It should be noted that their attacks could have been fatal; they coordinated the timing of the attack and a mass-heal spell to bring him from five digits to exactly one hit point.
Naotsugu keeps all the minions busy singlehanded.
Where is Akatsuki during all of this? She's killing off the healers and mage while everyone's distracted, of course!
Even Serara, the level 19 druid and Damsel in Distress, contributes by keeping everyone's HP high enough for The Plan to work. Then she deals the KO blow to Demicas by whacking him with her staff!
Episode 6: From the perspective of the players, the restaurant started by the Crescent Moon Alliance is the most awesome thing ever. burgers that taste like real burgers! Shiroe's opening exposition stated that for 15 gold a player could buy three meals worth of unseasoned crackers; a crescent burger costs the same amount and players gladly pay it. The restaurant makes over 43,000 gold on its first day.
Episode 7: Shouryuu singlehandedly knocking out (which is much harder than simply killing) an area boss the size of a truck and dragging it from the forest to his guild hall, all in an effort to impress Marielle.
Episode 8: Henretta's negotiations with the three largest production guilds in Elder Tales: Oceanic Systems, District 8 Shopping Center and Rodrick Firm. She gets what she needs from them without tipping her hand to the secret of Crescent Moon's success or what they're truly after and she does it all without lying. If that were a traditional RPG battle, it would have been a flawless victory.
Episode 9: Shiroe reveals why he needed five million gold to the leaders of several guilds: all the building zones in the city are for sale, so he just bought the one holding the Guild Building, which means he can now cut any guild off from their own assets, and every player in the city from the Bank. This, ladies and gentlemen, is why they call him "The Villain in Glasses".
Episode 10: Within a week, the Round Table Council has restored order to Akibara. In fact, it's so successful that a Lander king feels threatened by it.
Minori standing up in the face of the Leeroy Jenkins style fighting that has hampered her party so far.
Minori's tactics earning her party their first big win. True, The Aesop of that episode was The Power of Friendship and it is, but she was still the brains behind it.
Minori's party decides to defend the lander town against the Goblin King, by themselves if they have too. What makes this awesome is not that it's overconfidence but a sense of heroism. As adventurers they have greater power than the landers, even if they are low level compared to their teachers, and feel a need to use it. Minori's also emulates Shiroe The Strategist in Taking A Third Option so well that even the much more experienced adventurers listen to her.
Rudy deserves his own bullet point because he's a Lander. If he dies in the coming battle it may be permanent.
Minori's party continues to earn awesome moments by curbstomping a goblin patrol with seamless teamwork.
Princess Raynessia solves a political problem between Noble Landers and Akibara's Round Table Council by Cutting the Knot; instead of complicated and disrespectful politicking, she's going to travel to Akibara itself and respectful request the aid of the individuals living there. She even ropes Crusty into being her escort!
And a more subtle one shown at the end: In the span of just a few months, the Adventurer's of Akibara have turned their city into such a sprawling metropolis that at night the lights from the city can be seen from dozens of miles around.
Raynessia makes her request and 1,200 adventurers answer her call. Shiroe stated earlier that Akibara would be safe regardless of what they did and Raynessia admitted that she couldn't offer any reward, but they still Jumped at the Call. This means she convinced him on sheer charisma. One of them calls her a "goddess".
In regards to the final sentence, an awesome moment for Shiroe and Crusty. They arranged for Raynessia's wardrobe change so she could make the maximum first impression. After the "she's a goddess!" line, they look at each other and you can hear Just as Planned in their minds.
The simultaneous pounding of all the adventurer's weapons on the ground will give you chills.
After many episodes spent around conference tables, Crusty finally gets to show why he's the leader of the biggest combat guild, and boy, does he ever. He jumps into the thick of things, orders mage attacks like magical artiliery, blasts an enormous chasm right in the middle of the Goblin army just with his axe, No sells a giant's attack, runs up its arm and then swings his big freaking axe through its neck. All the while he has this glorious Blood Knight gleam in his eyes.
Also just calmly standing there as the magical artillery beams shoot around him, some of the beams avoiding hitting him by mere inches. He just stands there, without flinching or even looking back. That's some impressive coordination, teamwork and trust between them.
Minori performs so well as a strategist that Shiroe's own DTP comrades say she's doing a damn good job "chasing after him". Thanks to Full Control Encounter she can effectively see five seconds into the future.
Rundel Haus Code may be one of the People of the Land on paper, but he dies as an adventurer. If shoving your arm down a Dire Wolf's throat to blow it up from the inside doesn't qualify one as an adventurer, than nothing does.
Krusty and his scary blood lust. He effortlessly cuts up what looks like a goblin general.
Shiroe creates the most powerful contract in the setting: granting a lander a adventurer subclass, thus turning him into an adventurerer. The visual effects make this all the more awesome.
Episode 24: Shiroe weaponises the entire West Wind Brigade by taking advantage of the fact that "it's hard to cause trouble when you're surrounded by girls" to resolve the situation during the Libra Festival - having groups of four girls each patrolling the city. He gives the members additional initiative in the form of asking Soujiro to patrol in his own four-person group and hinting at a chance for any of the Brigade's members to rotate into Soujiro's group at any time. The plan works.
West Wind Brigade
Just about any time Soujirou draws his sword will end in awesomeness.
When Isami stabs a Hamelin guild member after he assaults her and Sara, she prepares to accept her death by the guard. Soujirou will have none of that, and blocks the guard's sword. His inner psycho comes out as he becomes prepared to defend his friends no matter what. He cuts off the Hamelin guy's arm in an attempt to behead him, fully knowing that the guard would target him. He manages to fight the guard long enough for the rest of his guild to get back to their hall, with only Nazuna as support, then dies. And this is all before they know that people revive after death. Soujirou is one of the first in Akiba to die.
After a failed negotiation between the WWB, Crescent Moon Alliance, Radio Market, and Grandeur, Soujirou manages to persuade Isaac to help him in hunting PKs, calling Isaac a nice guy inside. Isaac attacks him out of annoyance, and Soujirou dodges by stepping on the sword. After a little bit of banter, Isaac agrees to help out this one time. And that one time is glorious.