By chance I just watched a movie whcih I had seen before but it took a good ten minutes to realize as much. The movie is HOT FUZZ, starring Simon Pegg. It's the best satire/parody I can recall(not that good at it obv)
I'd drop a scene in but you should not watch this with any preconceptions.
Another film, The Absolute Fear of Everything, has the same lead man and is different but possibly more brilliant.
I take a look at this mans "filmography" and me jaw drops. He's had his hand in a libray full of well known and respected comedies.