That just made me think of Shaun of the Dead and Hot Fuzz. With Edgar Wright simultaneously: satirizing (at times bordering on parody) the genre; paying homage to the genre; and showing their love of the genre by making an actual really good, high quality film.
The third one of that trilogy is fine, but those first two are near perfect films. You could show either of them to someone who’s never watched a cop or zombie movie or whatever, and they would still be able to enjoy them on multiple levels. It’s kind of remarkable actually.
I can’t really think of many, if any, other films that fit the same criteria. Maybe that new-ish Weird Al “biopic”?