Scotty making an escape pod out of a torpedo, and bailing out of it before the thing crashes into a precipice.
Jaylah, being an alien Action Girl, has many of those, such as her introduction saving Scotty from some hostile scavengers.
This exchange overlapping with CMOF:
Spock:[injured] Fear of death is illogical. Bones: Fear of death is what keeps us alive.
Starbase Yorktown is gorgeous, coupling elements of the special effects in Inception with the elements of the design of the Citadel from Mass Effect and other space habitats in fiction.
After Spock is beamed out of danger before him, there is a short shot of Bones staying Defiant to the End, putting up fisticuffs against several fighters. He gets beamed too just before he gets blasted, but props nonetheless.
Even after the Enterprise is destroyed and crash-landed, Kirk and Chekov still managed to use it to crush a good number of enemy mooks by flipping over the entire saucer section. Especially poignant since the remnants of the Enterprise effectively get to kill the person responsible for her "death" at the hands of Krall. If ever a starship could pull off a Last Breath Bullet (of sorts), this would be how they do it.
Kirk getting to show off his Badass Biker skills in the camp rescue.
The Franklin is a 22nd-century starship that's been lying derelict for a really long time, which you wouldn't have guessed if you saw how much punishment it can take. At the climax it crashes through Yorktown's docking bay, at full speed, then proves itself maneuverable enough to fly around inside the starbase - scraping the sides all the way - and is still intact after it finally settles onto the ground. This after scraping against mountains, straining against terminal velocity to achieve lift-off via an atmospheric 'bounce' effect a short while ago.
Fridge Brilliance: Enterprise—the series, not the ship—established that back in the 22nd century, we didn't have shield technology yet. So instead of shielding, all that energy and all those resources went into hull plating. No wonder she could take so much punishment!
While Scotty and Chekov are frantically beaming the whole crew back aboard, they're waiting on Kirk, who wants to make sure they also get Jaylah out. He then drives his motorcycle off a ramp and grabs her in midair before he fully beams away, taking her with him.
Something about watching the Enterprise-A being built via time-lapse. It just works.
To emphasize the above, Kirk's final fight with Krall is significant for him since this is the first time Kirk manages to duel the central villain in the new film series and actually win. For that matter this is the first time he gets to win a number of his fights rather decisively. That this time he actually gets to do in the central villain is icing.
The best moment has to be when Kirk delivers a magnificent retort to Krall's declaration that his cause is hopeless:
Kirk: Better to die saving lives, than have to live with taking them. That's what I was born into.
The two moments where he gets the advantage. Kirk's main strength in fights has been his ability to take a punch, either when outnumbered or up against enhanced humans/aliens. In his fight with Krall, he manages to know where to hit him to actually do damage. And then at the end, Krall grabs a shard of glass to get an In the Back attack on Kirk. The captain delivers a powerful kick that sends the villain flying right into hisArtifact of Doom.
She takes down two of Krall's drone mooks singlehandedly.
While Kirk is fighting with Krall, Uhura activates the saucer separation to make sure the others have a chance to escape.
And no matter what Krall says to her or what she sees he can do, Uhura never loses her cool or shows any fear in front of him. This woman has got Nerves of Steel.
Possibly her most badass moment in the movie is recognizing Krall is actually Balthazar Edison by hearing him sputter a single sentence in an old video of the USS Franklin crew.
McCoy using the piece of equipment from the Swarm ships to create heat to temporarily stop Spock's bleeding.
Sulu and Chekov finally get to demonstrate exactly why they're at the helm by dropping the Franklin off a cliff and using that to launch the ship into space. Notably, even as the other crewmembers start to look nervous, and Kirk shouts that they can go at any time, Sulu insists on waiting until exactly the right second.
It's also prime heartwarming material and is listed as such but, the core crew members all getting a chance to say a portion of the oath (the iconic opening lines) as the newly rebuilt Enterprise warps into corners unknown is awesome.
"You take my house, and you make it fly."
The fact that early on, despite just how quickly things grow worse for the Enterprise by the minute, the crew quickly forms a plan to get the ship the hell out of dodge which actually works. Too bad Krall quickly finds a way to ensure that the ship will go down no matter what...
For that manner, the swarm attack itself is every bit as incredible as it is terrifying. Few adversaries have ever had the Enterprise (or anyEnterprise in either timeline) so dead-to-rights within seconds of engagement. They cripple, board, and slaughter with contemptuous ease, applying surgical precision on top of their already daunting numbers. Seriously, how often do you see someone garrote a spaceship?
In a sense, the entire Enterprise crew (Redshirts and all) as a whole get points for facing such insane odds against them without losing their cool. As the ship gets punctured by numerous swarm ships ready to board them, Kirk orders the crew to ready a defense. An added bonus for the fact many of the defenders do not go down like chumps.
A minor one but Kirk's immediate order for the ship to go to red alert once he realizes something is very wrong the moment the swarm, in the disguise of a large ship, just does nothing but head closer to the Enterprise. It heavily contrasts with Prime Kirk's encounter with the Reliant, failing to raise shields in time despite the red flags given to the crew that something is suspicious. Most of all, this moment shows how Kirk kept the harsh lessons from the last movie to heart.