The moment where you use a rare power-up. Trusting the Force in D6 Star Wars, Apocalyptic Form in Demon: The Fallen, Going Loud in Demon: The Descent and more.
In Person Of Interest, the Machine rarely guides the heroes directly, and the results of God Mode are awesome in both the modern and traditional meanings. (Spoiler: I just saw 5.13, where it happens again in a new way, and it’s quietly terrifying.)
Which games have something like this, where you can occasionally drop a massive bonus or hit an I Win button?