Pam, of all people, in "El Secuestro" for her ability to take torture and then delivering a massive What the Hell, Hero? to the whole of ISIS. Even Lana has no desire to tussle with her. At the very end of the episode, she takes her shirt off ready to beat up Malory.
Pam: Five thousand measly dollars?!
Malory: Y'know, maybe I low-balled him at first... But I had some wiggle room.
Pam: Yeah? Well let's see how much you wiggle when I'm whupping five thousand buck's worth of your ass.
Say nothing of her awesome back-tat of Lord Byron's"The Destruction of Sennacherib," and above that is the number of people she's killed in a fight. It's at thirteen. Though, it could also mean "12 jurors, 1 judge," which would indicate time done in prison.
For the Angel of Death
spread his wings
on the blast,
And breathed in the face of
the foe as he passed;
And the eyes of the sleepers
waxed deadly and chill,
And their hearts but
and forever grew still!
Barry gets one in the Season 2 finale. After being abandoned in Moscow by Archer and left for dead, he's turned into a cyborg by the KGB. He then delivers his own Roaring Rampage of Revenge on Archer, and crashes Archer's own wedding. It requires a Heroic Sacrifice on the part of Katya Kasanova, Archer's bride and defecting KGB agent, just to save Archer's life. And Barry isn't even remotely hurt, taking a shot by Malory on the back with a shrug.
Woodhouse's Roaring Rampage of Revenge in WWI must be seen to be believed. Let there be no doubt of its awesome though. It's awesome enough that even Archer acknowledges it.
Archer: That's a lot of scalps!
Right before that, when the acting-commander ordered that there be no rescue attempt. Woodhouse's response was to surge up, punch him in his smug face through his drinking glass, and beat the crap out of him before running out to rescue Reggie. Made even better in that his description was "A response I found... unsatisfactory."
Cyril, of all people, successfully bluffs an enemy with an empty gun, despite the fact that he is outnumbered three to one and Archer is rendered helpless.
Basically whenever Archer has to do actual ass kicking, he's badass-incarnate. Like in Swiss Miss, where he kills all of the terrorists chasing him on snowmobiles without much effort, only acquiring a gun halfway through the chase.
His maneuver at the beginning of Job Offer is also awesome.
So is almost everything he does in Skorpio. So yeah, you get the picture.
EVERYTHING that Burt Reynolds does in the car chase in "The Man from Jupiter".
And really, everything that Burt Reynolds does in universe.
Cyril showing that he's not completely incompetent as a field agent in "El Contador." Unfortunately, the awesome is ruined by his utter incompetence as an agent in the next episode, "The Limited."
Krieger being able to dispose of a dead body with minimal traces and being able to smell that there is too much salt in a tomato sauce from several meters and doors away in "Lo Scandalo."
The real moment of awesome in that episode, belongs to Mallory. She scams the entire crew, and literally gets away with murder.
Pam of all people being revealed to be, for a lack of a better term, a sexual beast.
At the end of "Space Race Part:1" Guest Star Bryan Cranston says "Danger Zone"
And from the same episode we have Archer saving everyone from the Space Mutineers after having sex with Pam.
Even though they weren't the real Mutineers.
In "Space Race: Part 2", after Archer decides to save the ISIS team rather than go fight Barry on the space station, Cyril thanks Archer in a badass way, by melting Barry's shuttle with his rocket thrusters so he's trapped there.
In the Season Four premiere, Archer killing the crap out of a KGB hitsquad using only the items lying around in the kitchen of the burger joint, all the while still thinking he's Bob.
Again four more KGB agents corner Archer and Lana in a wine bar, and Archer regains his memory when Lana conked him, then takes out the KGB with some Molotov cocktails.
Katya playing Archer like a chump, becoming the new head of the KGB in the process, and, in a way, screwing over Barry in the process.
Cheryl absolutely tearing into Lana with an impromptu "The Reason You Suck" Speech. Pam and Lana are actually stunned. And to top it off, she didn't even know she was talking out loud.
Cheryl: Please, if you really cared, you'd resign, but there's no way you ever will, because you're just counting the days until, her face bloated and yellow from liver failure, she calls you to her death bed and, in a croaky whisper, explains that Mr. Archer is totally incompetent and that you, the long-suffering Lana Kane, are the only one qualified to run ISIS and you weep shameful tears because you know this terrible place is the only true love you will ever know.
Pam acing the field agent written test and demonstrating her ability in hand to hand combat by beating up Krieger, Cyril and Ray in an unarmed fight.
Also notable the black eye she has when trying to convince Mallory did not come from her fight with the grown man but having lost an underground bare knuckle fight previously.
Archer rescuing Lana when she slips off a building during an outside suction-cup Wall Crawl in The Honeymooners.
The animation itself is particularly great in the scene. The shot of Lana falling is pretty much the best animated shot in the entire series, since it's not done in the series typical style of animation.
And doing it again when she's kicked in the chest by one of the North Korean agents by slamming the empty ice-bucket over his head, delivering a couple well-placed jabs to his kidneys, and then kicking the aforementioned bucket so hard he dented it.
"Dented it?" He kicked it so hard that, several minutes later, the other agents are still trying to pry it off the guy's head! And failing!
Archer when he was in Moscow was able to consistently outwitted and outfought the numerous soldiers dispatched to recapture him despite never having a functional firearm and "three pounds of glass" in his feet. When he was finally cornered in an elevator, he blindfolded himself and fully intended his last words to be "F*** you, you douchebags."
In the Season 2 Episode "Stage 2" after Archer tells everyone he has breast cancer and gives out ribbons Bret comes up and makes fun of him for being a man with breast cancer. Archer proceeds to beat the shit out of him and makes him wear a breast cancer support ribbon for the rest of the day.
Its awesome because first you do not make fun of someone with any form of cancer PERIOD.
Second male breast cancer is a thing that happens in the real world and some men do get ridiculed for it.
Third Archer may be an Ass but not even he would make fun of someone with a life threatening illness.
From Placebo Effect we have Archer, taking on the Irish mob for giving out fake cancer medication. Also doubles as a heartwarming moment, as he is doing this for a old woman named Ruth, a cancer patient he befriended.
At one point that also doubles as a Funny moment, Archer interrogates the Irish mob about fake cancer medication in the style of a Family Feud-like show. Only the bad answers are awarded with a shotgun blast to the kneecap.
He interrogates an mobster by sticking a grenade up his ass, of course he thought is was a smoke grenade. He thought wrong.
In Heart of Archness, when Archer and Rip's plane crashes in the ocean, Rip is unconscious, and Archer effortlessly saves him by pushing him to the surface, along with supplies, and shoots a shark in the face.
Woo! Two personal records! For breath-holding, and number of sharks shot in the fricking face!
Made even more awesome upon the release of the second episode when, Pam wheels in the pallet-tonne of cocaine into Cheryl's mansion on a forklift, just as Archer envisioned it, meaning that every single moment of awesome in that Imagine Spot is going to happen!
And then there was the bit where Archer and Lana faked a fight just so their FBI interrogator would try to break it up, giving both the perfect opportunity to knock the guards out.
Also, at the very beginning, when the FBI pretty much explodes ISIS with flash grenades, Malory never drops her cocktail. It doesn't even look like she spilled any of it!
The reveal that Cheryl can actually sing and play guitar/banjo incredibly well.
Archer constantly firing his gun inside the Yakuza head's car. It naturally hurts his ears like hell. But Archer?
Archer: To me, it sounds like bubble-wrap.
In Archer Vice: House Call, Malory unflinchingly takes a sleeping dart to the neck and just calls the person who shoots her a idiot and takes a drink. She isn't even phased for a second.
Also from that episode, albiet a darker example, Pam's ingenious method of at getting at the cocaine locked in the pantry. It involves a garden hose and several empty pudding cups placed to plug up the floor drain and collect the run-off.
Immediately after, when Pam threatens to go to the police if they send her to rehab. Woodhouse sneaks up behind her and clocks her over the head with the cast-iron skillet he was using to make Archer's breakfast. Pam goes down like a ton of bricks.
Lana (visibly surprised): Goddamn, Woodhouse.
Woodhouse (calmly): Only thing for a grass, mum.
Pam, empowered by all the cocaine she's eaten, quite literally Hulking Out, complete with dramatic lightning, Super Strength, clothes-ripping (with purple pants), and a kidnapped damsel.
From Archer Vice: Baby Shower, we have:
Ray calling everyone else out for being complete assholes towards Lana, and not even being considerate enough to at least throw her a baby shower.
In "Smuggler's Blues", Archer's voicemail pranks reach an epic level of elaborate.
Archer drops their plane into a nosedive and threatens to crash if Ray doesn't apologize, so Cyril beats Archer unconscious with a fire extinguisher and helps pilot the plane successfully.
"Rule of Extraction" has one where Ray calls out Archer:
Ray: How long will it take you, Archer, to admit that you dick around every time we’re in danger just to screw with everybody, because of your complete—no, your utter contempt for your own mortality?!
Archer (briefly pauses): I mean, yeah, duh.
Ray: All I wanted.
Then the dude reveals he was faking his paralysis as he hops off of Archer’s back. And now that he’s gotten that admission, he’s remarkably calm as he flies the plane. Cyril is still pretty stressed out, Archer is obviously not bothered and slightly impressed at the prank, and Ray has an oddly chill attitude: “Jesus Christ, woman, calm down! We’ve got five hours of fuel, we’ll worry about that when we have to.”
"Palace of Intrigue: Part 2" has Cyril driving into the presidential palace in a tank, inadvertently leading a successful coup because the military thought he was with the rebel forces, calling out on Malory about the choice of escape vehicle (Something she richly deserves), and when Archer tries to take control of the coup, Cyril just turns the turret on him.
Say. That. Again.
Cherlene's fight with Juliana Calderon complete with batting away bullets with her guitar.
Krieger fighting against his clones when they tried to bomb something via nerve gas.
Lana, about to give birth and with her hands tied, disarms and knocks out two armed men, and is able to take control from the CIA.
Krieger and Ray can't figure out how to disarm the bomb so they remove the nerve gas canister.
Malory regaining ISIS.
To elaborate: She first tries to bribe the CIA operative with an painting worth $40 million and a canister of nerve gas, both "confiscated" from the island, noting that taking these to his handlers would probably earn him a promotion. When that doesn't work, she simply threatens to throw the operative out of the plane and take the offer to his partner.