Hot Fuzz, unfortunately, lacks a defining Crowning Moment Of Awesome. This is primarily because it has a something that can qualify as a Crowning Moment Of Awesome every thirty seconds - though the thirty minutes involving Angel's return to town and kicking the collected asses of everyone can potentially count.
The officers shaping up for the final fight. The "incompetent" Sergeant Tony Fisher suddenly comes up with a comprehensive and decent plan very quickly. And even though the Andys' and Doris don't do any substantial detective work, they do end up kicking some substantial ass.
Nick refusing to come back to London when the Jerk Ass inspectors from the Met come to Sandford to ask him to come back, as crime has grown tenfold ever since he was Kicked Upstairs. While you know it was mostly because Nick had grown to like Sandford and his new friends, you can tell it's also him getting a little payback.