Meta Example: Studio BONES deciding to try and make a shonen anime where love is not just a major plot point, but the central theme. And succeeding.
Holland has his in "Shout to the Top!", when he manages to take out a good portion of the Ginga by crashing his LFO straight into it and unloading his entire arsenal.
Speaking of Holland, he gets another one very early in the series. When a couple of punks assault Talho in "Vivid Bit", Holland pulls one of them off of her by grabbing him by the nose. When another thug tries to crush Holland and Talho with the foot of his pimped-out mech (and does crush the ring he just bought for her), Holland retaliates by running up the mech's arm, throwing the manual release for the cockpit, and then beating the crap out of the punk when the hatch opens.
Dominic, Anemone, and TheEND get their respective CMOAs in "Ballet Mechanique".
Dominic free-falling out of the sky to try to save Anemone, clinging to a piece of wreckage and roaring her name at the top of his lungs.]Weird for a CMOA since he's essentially helpless and yet still utterly dead-set on his goal.
Anemone abandoning her suicide mission and launching herself into the air to reach Dominic.
TheEND's dramatic Heel-Face Turn: Just when it seems like everything's over, TheEND suddenly turns white and begins moving on its own, shields Dominic and Anemone from a deadly blast, and basically redeems every evil deed it performed throughout the whole series over the course of a couple of minutes.
Axel Thurston proves to be a Badass Grandpa of the highest order when he successfully rams an armored transport carrier with a forklift, blows his workshop up to slow down the military, then does a dash for a cliff so he can send the customized LFO board for Renton's mecha.
During the penultimate episode, Holland and Dewey are fighting on the bridge of the Ginga, and it looks like Dewey is about to kill Holland, until he looks out the window and gets a wonderful Oh, Crap face as Talho and Moondoggie stab the bridge of their ship through the bridge of the Ginga, sending Dewey flying across the room.
Renton's recovery after getting shot in the movie definitely counts. He doesn't quite recover until after his moment of awesome, but then again, said moment of awesome involves going from being bedridden and unable to even move, to causing the Nirvash to evolve into it's final form, rescuing Eureka from an EIZO attack, and then getting into a fierce battle with and defeating Holland piloting the Devilfish. Meanwhile, throughout all this, his wound has opened back up and he's slowly bleeding to death.
May be relatively small compared to Renton's other awesome accomplishments, but when he faced down Dominic in Episode 13, he blackmailed him into bringing him along to get help for Eureka by stealing the energy drive and muffler from his bike when he wasn't looking, and then didn't even blink when Dominic fired a shot into the ground at his feet to scare him.
Talho risking getting her throat slashed to capture Ray Beams.
Holland's own stealth duel with Charles Beams in episode 27 exhibits the badass commando sides both have alluded to but not exhibited.
After Renton suffers a Heroic BSOD in Episode 20 and runs away from Gekkostate in Episode 21, he goes back in Episode 26, takes the Nirvash to save Eureka from falling to her death, then takes out an entire military squad without lethal force. Yeah, he's back.