In the first Die Hard, it is a CMoA; in the third, it follows a CMoA - John McClane taking down an helicopter by shooting an electric cable; in the second and fourth, it precedes a CMoA - McClane blowing a plane in mid-air with a lighter, and while being held hostage by the villain, killing the baddie by shooting his own shoulder.
How about Holly punching the smarmy reporter in the face?
And tasering him a year later.
Lucy gets one in the fourth movie when, having been captured by the Big Bad, he puts the radio in front of her to try and convince McClane that he's serious. Instead of playing the Distressed Damsel, she calmly looks the Big Bad in the eye and tells her dad there's only five of the terrorists left.
Which follows an equally awesome moment where McClane just told the Big Bad that kidnapping his daughter was an act of desperation and she was not at risk.
In Die Hard 4.0, John McClane just had to top his destruction of a helicopter with a tiny handgun and an electric cable in Die Hard With a Vengance when he killed a helicopter by crashing into it with a car while it was hovering in mid air.
John: "I was out of bullets."
Ironically, Hans Gruber's defeat was a CMOA for him. After getting shot by McClane and falling out the window, he almost pulls down Holly with him and makes one last effort to shoot McClane (which he does quite calmly considering the situation he is in). Then he falls in slow motion all dramatic-like. He may have lost, but damn if he wasn't badass about it!
In the first Die Hard, when McClane ties a firehose around his waist and leaps off the roof of the Nakatomi Plaza. In slow motion. Just as the FBI is about to shoot him from a helicopter. As the roof explodes behind him. It's one of the best shots in the movie.
Also in the first movie, McClane ties a computer and some dynamites to a chair, drops it down the elevator shaft, to the bottom floor where the terrorists are holding their weapons. The huge explosion can be felt by the hostages and Hans. McClane looks down to see the blazing fire sprouting up. He screams "OH SHIIIIT!!!" and jumps out of the way just as it reached his floor.
Another Throw It In in the form of Hans successfully faking an American accent when he first faces Mc Clane. Which serves as a moment of funny as well, because when he first sees him his Oh Crap face was genuine before he used it to further fool John into thinking he was an escaped hostage.
The Car Chase scene in A Good Day to Die Hard, not to mention the final shootout in Chernobyl and the helicopter jump.