I’ve got two. In “Hollywood Shuffle,” Robert Townsend is going quietly insane trying to make it in the movies. All the while, as he complains about not being able to get work, his grandmother always retorts with “There’s work at the Post Office!”
The final scene has him doing a commercial for the Post Office. 
Next, on the children’s program “The Big Comfy Couch” the mail is delivered every day by a friendly fellow named Major Bedhead.
Stan Lee as Willie Lumpkin, mail carrier to the Baxter Building, headquarters of the Fantastic Four, 2005.
Come to think of it, I’m pretty sure there are a couple of porn movies where a postman delivering a package is important to the story.
A surprising omission from the thread so far - Postman Pat.
There is a current TV show called “The Inspectors” that is all about postal inspectors. I’ve seen it once. I think it is on CBS on their weekend morning edutainment programming. But it is a scripted show, like Law and Order for the USPS.
Ed Helms appeared as a postal inspector in a few episodes of Brooklyn Nine-nine
There’s actually a reason for the question, but I have struck out…
I go to my local post office a lot - I have a side business selling books by mail - and have gotten to know most of the people working the front. One is a sweetheart and a good friend, one is a really nice person…
And one strikes me as a stereotypical “postal clerk”. To the point that I feel like I’ve seen him as a type in some show or other.
The closest I could come to describing him right now, is Cliff Claven’s personality minus the trivia buff aspect.
You mean, like in Firefox? :dubious:
Post Office Investigator (1949) - Dimbulb postman becomes involved in a theft of rare stamps.
Jour de fête (1949) - During a once-a-year fair, the inhabitants of a small French town make fun of the postman (Jacques Tati).
Side Street (1950) - Mailman (Farley Granger) shows exceptionally bad judgement and soon regrets it.
Mr. Sycamore (1975) - Postman (Jason Robards) wants to be a tree and is taken to the loony bin.
Postman Blues (1997) - A (Japanese) postman is mistaken for a dangerous criminal.
And of course…
Mail Dog (1947) - Disney short with Pluto in the title role. Hijinx ensue.
At the start of Buddy, Buddy, the hit man (Walter Matthau) disguises himself as a mail carrier.
According to Men In Black II, aside from the retired Agent K, pretty much all postal employees are aliens…