Psych/Awesome

The moment in the pilot where Shawn convinces the police not to arrest him because he's a psychic, demonstrating his abilities to their astonishment and awe. What makes this moment particularly awesome is that he isn't one. It pretty much sets the scene for all the on-the-fly Refuge in Audacity moments he'll pull throughout the series.
Carlton tapdancing. Also counts as a Funny as... well... it's Carlton tapdancing as well as the fact that in the middle of the routine he has an epiphany moment and says out loud (while surrounded by children), "I know who the Westside rapist is!"
Shawn throwing the cell phone into the ocean in "An Evening With Mr. Yang." After running around following Yang's clues, Shawn takes control of the situation for the first time.
Doubles as heartwarming, but when Shawn hears that Gus is taken hostage, he stands for half a second comprehending it then immediately tries to rush in. Lassiter has to hold him back.
Shawn's been shot, but he pulls off two awesome moments in the episode while off. First, he remembers what he was taught what you should do if you are trapped in a trunk, and pulls it off despite being visibly disorientated. Then he goes in to pull off a shot to disable the car chasing him, while still shot, and is lying on the hood of a moving car.
- Also earns us this gem of a line, which coming from Lassiter is awesome in and of itself:

Lassiter: Nice shooting, Detective.

Tied to a chair, in a completely serious tone, "You kill him, I kill you."
The police have three suspects restrained around an inactive bomb one of them designed. Shawn tries to find who designed the bomb by activating it on a sixty-second clock, with two police officers restraining three suspects within a meter of it.
Gus is not the kind of guy you'd expect to have a CMoA; usually the nerdy Straight Man, he exists mainly as a long-suffering foil to the antics of his much cooler friend Shawn. Then, one of of their cases takes Gus and Shawn to a comic book convention where Gus meets a few people he pretends not to know, Shawn makes a few too many snide comments and Gus delivers a rant that not only even impresses Shawn, but will resonate with anyone who's had to put up with one too many people making fun of their interests:

Gus: [Discussing a sci-fi movie blog] Everybody reads this blog.
Shawn: [Dismissively] No, not everybody.
Gus: [Snapping]: Everybody here does, Shawn! And you know what? I don't care what you think! So why don't you let me do the talking here at the convention? And try not to embarrass me. This is my turf. And yes, I knew the guy in the codpiece. His name is Dave. And he's a really nice guy.
[Gus swaggers off in a nerdy yet strangely cool fashion]
Shawn: [Stunned speechless] ... Snap.

The unexpected moment in "Earth, Wind, and... Wait for it" where Gus and Shaun are suddenly thrown for a loop when the arsonist they're talking down sets a dangerous fire. Gus immediately takes charge, orders Shaun to carry out the unconscious Woman of the Week and dives for the arsonist, who'd just set themself on fire, saving them, and carrying him out in a rolled carpet (or something resembling it, at least).
In one episode featuring people recreating the Wild West setting in everyday life, obstructive Head Detective Carlton makes the arrest with several police cars behind him on a wide, dusty road. Because of the position, he and his quarry instinctively begin a standoff. Carlton proves he isn't all talk when he delivers the quicker shot.
The opening of "Shawn has the Yips" has one for Lassiter. The second Shawn tells him there's a guy with a gun, he goes Guns Akimbo on the hooded man, exchanging fire with him. Sure, he misses, but the fact that he carried guns to a baseball game...
"Shawn Takes a Shot in the Dark," is a crowning moment of awesome for almost the entire cast, but specifically for Shawn, who, over the course of the episode, escapes from the trunk of a moving car, jumps from one car to another during a high-speed chase, and uses a gun for the first time in the series to successfully hit a target both his ex-cop father and Detective Lassiter couldn't. However, the true CMoA for Shawn is when he uses his hypersensitivity to watch a bullet as it's fired at him. It still hits him, but damn!
- That was actually the second time in the series Shawn fires a gun. The first is in the pilot, with the only witness being Lassiter's partner, who is replaced by Juliet in the second episode of the series. This scene establishes that Shawn is a crack shot as he fires through the bullet holes previously made by Lassie's old partner at the gun range. Which makes it a CMoA in itself and grants another one for setting up a bit and waiting 4 years for the payoff.
From "Mister Yin Presents", Lassiter gets one.

Lassiter: You have other units, chief. I'll be going to get my partner now.

- Shawn also gets one when he steps up and does the responsible thing; "It's Jules; we know where she is, we follow Lassie, we save Juliette." Then he figures out the clue and saves Abigail.
- And then his words to Gus as he sets out to save Abigail alone: "The only way I can't be there for Jules is if I know YOU are."
Gus gets an offsceen one in "Tuesday The 17th." Shawn and Juliet are tracking down a killer, who has ambushed Gus and some other victims while they were off looking. After finding out, Shawn spots Gus being attacked by the killer (who is wielding a knife) alone and immediately rushes in to rescue him. After running always to the scene he desperately runs to what he thinks Gus' collapsed body, only to find out it's the killer - Gus had already beaten him up off screen, without a scratch on him. Of course, then the killer wakes up, and it's him vs Shawn instead.
Lassiter winning an Old West style quick draw duel in "High Noon-ish" is pretty awesome. Doubles as a CMOF when the people (who think it's part of a show) start booing him.

Lassiter: I'm the good guy you toothless hillbillies! But I did just shoot that guy for real, so clear out.

Gus and Lassiter's rescue of Juliet in "Mr. Yin Presents." Gus grabbing the hand of the clock, and Lassiter jamming the gears.
"If Shawn really has been shot, there's no room I'm not gonna bust open to find my son."
In "Last Night Gus", Shawn's speech about what it feels like to lose his Sherlock Scan and/or Psychic Powers that devolves into a deranged rant about convincing a child they've been given an ice cream cone. Which was apparently improvised by James Roday.
In "The Polarizing Express", an unnamed extra gets this with one line. The entire episode has been about the characters trying to bust the head of a gang on tax evasion, because they can't get him on anything else. At the end, Shawn jumps on a police car and gives an impassioned speech, with Gus, Lassie, and a one-off character joining in, until all the innocent bystanders are convinced to testify against him. The first person to agree was a young woman who was there with her daughter.
In "Let's Doo-Wop it Again", Shawn apparently resists an overdose of morphine to take down the episode's killer, a trained security chief. The fact that Shawn's dad had refused to pay for pain medication and Shawn was only on glucose does not make it less awesome.

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