Tel Ammon sounds like it would be in Gondor (especially the second part) or Vvardenfell (the Tel).
Absolutely nothing against Michigan, but please please call the mitten “Inferior” in that case.
If not already used in The Handmaid’s Tale, “Gilead” would make a good name for a fictional Jewish nation.
I Love Lucy had a episode where Lucy posed as the “…Maharincess of Franistan…”
I think Get Smart had a lot of fake country names.
Because the main point of fake country names in movies and TV shows is to UNtie the show from real documented history, not to associate it more closely. If a writer/filmmaker wants a firm association with a real place, generally they just call it by the real name. For example, I don’t know Woody Allen’s work at all, but I can imagine that in some of his films he wants a firm association with the real literal New York, and just calls his fictional place “New York”.
How about Elbonia?
On, “The Simpsons,” Spinal Tap stated they were big in Bulgaria and the “other …garia.” “Hungaria?” “Who’s benefited more from the death of communism than us?” “Maybe the people who live in communist countries.” “I bet you’re right.”
I seem to recall that the original Mission: Impossible TV show did too, though I can’t remember any of them.
It was a weird book that combined real historical figures with fictional characters. Since the character who needed the fictional state ended up becoming a Senator, I guess Michener just didn’t want to have a fake Senator from a real state. or something. LBJ actually plays a role in the story, and he’s real.
Space is a great read but I’ve never really figured out what Michener was going for. It’s a retelling of how our space program got started, but it’s also alt history. One could start a great thread just about that book.
Let’s not overlook the Guardian’s 1977 masterpiece, the island nation of San Serriffe.
The film <Proof of Life>> was set in “Ticala.” The scenario of the film was largely based on Colombia’s civil war and the kidnapping of foreign nationals or wealthy people. However, the map of Ticala was essentially a map of Ecuador, and scenes of the capital of Ticala were in Quito.
My favorite was the East European People’s Republic.
On the old Dynasty, they had the Kingdom of Moldavia. Nobody bothered to tell them that Moldavia (present-day Moldova) was one of the fifteen constituent republics of the Soviet Union.
A big chunk of it is modern Romania, as well as some Ukraine.
List is missing Mordavia, from Quest for Glory IV. Eastern European land of vampires, domovoi, and vorpal bunnies.
That’s because there used to be an actual regionby that name, in what’s now western Jordan.
I know that’s from the comic and not the cartoon, but the cartoon series was fond of fake country names, such as Ronguay in S. America, Montedumas in western Europe, and Noway in Scandinavia.
I guess that place is much more famous and recognized now, with the recent dieting fad named after it. 
I’m not sure if Bigues-L’Hardâce, Y-Houx-Artout, L’Yves-M’y-Eut-L’Aulne and Gault-et-Ouais are place names or names of characters. Either way though, you can tell it would be a weird movie. 
Also, there’s the state of San Andreas from the Grand Theft Auto universe.
Don’t forget about the country of Kapetapek.
I don’t know what kind of drugs the folks who made Speed Racer were on, but I want some! There was some weird shit on that show.
That would be Siam. As in Anna and the King of Siam.
Ok, Siam was also more or less an English version of the name of a real country, but to the irritation of the inhabitants, the country described in the book, stage musical, and film was /actually/ a fictional country in East Asia.
Creating my own, I think: We flew out of Singapore into Tynan, and were met by the company rep, who took us to a bar…
Now, you can’t be expecting to get away with that. Wales: not in England.