In Superman IV: The Quest for Peace, Nuclear Man picks up the SoL and throws it a bunch of people.
There’s an episode of Family Guy where Peter steals the Statue’s foot as a wedding gift for Quagmire. All we see is the foot though.
Spaceballs. In a parody of the scene in Planet of the Apes she trandforms into a vacumn cleaner, or worse. 
“Last time I was inside a woman was when I visited the Statue of Liberty.” – Woody Allen in Crimes and Misdemeanors.
And cops with binoculars are using the crown as an observation post, aren’t they?
In Up the Sandbox, there’s a daydream sequence in which she almost gets blown up.
Abbott and Costello Go to Mars. Liberty ducks when they fly overhead.
I think this is how Hollywood decided to get even with the French for the Cannes Film Festival every year.
Molested, eh?
How about in Splash! where Darryl Hannah flashes her?
You folks forget that in the Poster for Escape From New York the head of the Statue of Liberty is sitting on a street in New York. It has nothing to do with the movie, but it looks cool.
I was just thinking about this the other day, having seen PoTA with MilliCal. You’ve named just about all the films I can think of except:
Saboteur – Alfred Hitchcock film with the climax atop the Torch of Ms. Liberty
Spaceballs – not really the SoL, of course, but an incredible simulation!
That iconic scene at the end of Planet of the Apes is wrong in so many ways it’s ridiculous – Is the SoL gonna be the only thing to be sticking out of rock when NYC bites the big one? It’s a copper sheathing held up by Eiffel’s infrastructure. It’ll probably be the first thing to go. How did it get buried, anyway? Howcum the thing is on the beach at sunset? Did the whole North American continent disappear, and a new one grew up in the Atlantic?
But Good Old Rod serling, who purportedly came up with the image, knew not to be bothered too much by facts. A good icon doesn’t need realism.
There was an HBO movie made about ten years ago… I think it was called “The Second Civil War”. It stared Beau Bridges and Dennis Leary. It’s about the events that escalate the Unite States into, you guessed it, a second civil war. This time the issue is immigration.
It was played as a borderline dark comedy ntil the end when it got ridiculously serious about itself. At the end, Mexican immigrant terrorists blow up the Statue of Liberty.
I’d wondered that as well. Where were the skyscrapers? Of course I wondered more how a guy could spend days and days among apes who spoke and wrote in fluent 20th century English and then be surprised to learn he was on Earth.
In the opening credits to Where on Earth is Carmen Sandiego? Carmen is seen stealing the statue.
Man, I LOVED that show. Is it on DVD?
“Uh… could I see your receipt, please, ma’am?”
I hope you’re ashamed that you know that. I’m ashamed that I might have known it but my brain refuses to retain too much of that movie.
Here’s obscure for you:
In the first episode of the anime OAV Read or Die, an evil clone of Otto Lilienthal, while chasing our heroes, gets his glider hooked to Lady Liberty’s torch by the lovely and resourceful Miss Deep, and goes up like a moth in a candle flame. Unfortunately, the torch, I assume, is a bit worse for wear after that encounter too.
No, I’m serious.
I saw Superman II: The Richard Donner Cut yesterday, and where, in the original, General Zod threw Kal-El into a building, in this cut he’s thrown into the Statue of Liberty’s torch, smashing it.
It’s not clear (to me) whether it was the actual New York Statue of Liberty or some very similar Metropolis fictional equivalent. But I thought I’d mention it here nonetheless.