These can be subjectively found pretty much all over the place in the animations' usual violence. Whether it's Badass Normal teamwork at its best, or spectacularly bloody use of telekinetic powers, or just our protagonist Hank Wimbleton tearing his enemies apart with his bare hands, awesome moments are never hard to find.
The intro to Apotheosis marks the beginning of a more cinematic Madness Combat. The previous two episodes are concisely summarized with Hank's injuries, Tricky's signature mask is introduced, and it ends with Hank firing his guns at the viewer, the muzzle flashes forming a capital letter H. The whole sequence is set to some of the series' most captivating music.
In 6.5, Jesus retrieves the top half of his own head from where Tricky left it, and reattaches it with his halo's healing power. He then walks out of the room, leaving a note on the wall saying that he's quitting. This itself doesn't really stand out in the Madness Combat universe, except that the note had been written before he put it up. Jesus somehow wrote that note while missing the top of his head.
Jesus' Big Damn Heroes moment in Consternation. Hank has spent the entire animation fleeing from Tricky. The most he's able to do is to get Tricky to temporarily retreat. Then, when Hank looks like he's finally out of luck, the Savior shows up, and completely wins the fight within ten seconds of appearing. Not only does he kill both Hank and Tricky, he does it with one sword strike and one bullet apiece.
Hank outfighting the Halo-empowered Auditor at every turn in Abrogation, even when the Auditor grows to about ten times normal size and dwarfs Hank. Especially satisfying, given how often and how painfully he's been at the mercy of monsters like Tricky.
The Abrogation theme features parts of Consternation, Depredation and Inundation. Fittingly, the animation itself brings these past animations' events to closure.