In Bloom County, Opus was once lost without direction in a desert, and finally got a script, and edited it so that the inbred psycho who's picked him up hitchhiking turns into Zsa Zsa Gabor. Then when Zsa Zsa drops him off in Vegas, he leaves the script in the car, and is stuck back in the desert again.
Turnabout Storm: Pinkie doesn't waste any time; she already had a good part of the script read beforehand, thus she already knew what one of Phoenix's next destinations was, and that "something strange" was going to happen there. At least she had the courtesy of not reading too far into it to avoid spoilers.
The Infinite Loops takes this trope and does the tango. Looping universes are backed up on the Hub universe, our reality, which causes the natives to write fiction about the backed up worlds and results in a lot of Mutually Fictional scenarios. Genre Savvy loopers gather as much fiction as they can, so they can quickly acquaint themselves with any other world they end up in; some loopers even keep their own scritps on hand to offer to newcomers.
Film - Live Action
In The Muppet Movie, the Electric Mayhem come to rescue Kermit and the others when they get stranded in the desert. How did they knew they were there? They read it in the script Kermit had given them earlier. Although, even with the script, it's still fairly far-fetched that Dr. Teeth managed to locate them.
Kermit: How did you know where to find us? Dr. Teeth: We just read the script. (Holds up script) "EXT. DESERT - NIGHT." We knew right where you were.
In the movie Spaceballs, the Spaceballs watch the VHS of the movie to find out where the heroes have escaped to. This causes great weirdness when they first get to the part of the video that's currently going on.
In one of the Xanth novels, the main characters come across a character whose talent is to read the chapter name. Unfortunately for them, this occurs in a chapter titled "X". Partially justified in that the novels are occasionally said to be copies of historical texts created by Muses, who update them in real-time, so the character could just be checking the title of the chapter the Muse is working on. Also, Rule of Funny.
Live Action TV
Strangely, the entire story of Heroes, a sci-fi drama based on comic books, exists in-universe as... a comic book. This is an important plot point early on— a character finds their own comic and reads ahead a little, effectively consulting the oracle before their quest.
Later, this same character is so confused that he hunts down a comic book store to find out what happens next, only for a couple of comic book geeks to recognize him from a scene they just read. They answer some of his questions about plot details and share some fan theories, which may or may not have been based on actual fan theories from people watching the TV show.
Happens in the Red Dwarf miniseries Back to Earth. The characters then start writing the script to make each other do humiliating slapstick routines.
That Mitchell and Webb Look features fly-on-the-wall style sections with the actors having chats as themselves on the set. In one of them, David Mitchell points out that these are as scripted as the rest of the show, and shows Robert Webb the script for the sketch they're in, which includes the direction "Cut to a close-up of the script. It reads: cut to a close-up of the script. It reads:..."
Monty Python's Flying Circus: In several episodes characters would read the script to find out what was going on or what they (or another character) were supposed to do.
In the series finale of Small Wonder, Vanessa (posing as Vicki) does this, to the chagrin of the film director.
Forbidden Broadway Strikes Back has a weird variation - the characters from Rent read ahead in the script for La Bohème to see what they should do next. Of course, since the plot of Rent is only very loosely based on La Bohème, it's not a reliable guide.
Played with in The Simpsons Game twice. Early in the game, the manual for the game itself falls in front of Bart which helps move the plot forward. Later, Bart looks up the walkthrough for the game online to find out what they have to do next. Subverted in that he gets cut off before he actually says what they need to do by aliens attacking the house, and the rest of the plot evolves from there.
Played with in DM of the Rings#29 where the DM reads a script he was supposed to read later. When he realizes his mistake he tells the players to forget what they just heard. But given the players' dislike of the Wall of Text backstory and NPC monologues, they weren't listening anyway.
L's Empire has one character become an author, so they can read the comic's buffer to counteract any plan set in motion against them. The other authors manage to get around this by deliberately posting the page that details the character's downfall late.
A variant is common in Final Fantasy VII: The Sevening. Rather than read ahead, the characters are usually checking the script to make sure that the impossible thing, plot-hole, or out-of-character dialogue they just experienced was not some kind of mistake on their part. At times they're reduced to tears.
In the Drawn Together movie, when trapped in a slowly-filling underwater carriage and at a loss for what to do next, the housemates listen to the DVD commentary.
Disney's Aladdin: The Genie pulls out a copy of the movie's script and tries to feed Aladdin his next lines, which will have him use his third wish to free the Genie.
Inverted in the Taz-Mania episode "Retakes Not Included". Bull and Axl realise that they have digressed too long and that the plot has moved on without them. They flip backwards through the script in order to catch up and prevent Taz from eating a cute fluffy bunny.
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This kind of happens in the novel Lanark, when the title character meets the author and learns about some of the things that are in store for him.
In The Neverending Story, the Childlike Empress seeks out the Old Man of Wandering Mountain, who writes the book that contains all of Fantastica. She asks if he can look ahead in the book to see what will happen, and gets the reply, "Empty pages". There's nothing ahead in the book, because it hasn't happened yet.
A variation occurs in the Doctor Who episode "The Angels Take Manhattan." The events of the episode are written down in a book the Doctor found. Amy is quick to realize that reading ahead gives them some warning about what will happen, only for the Doctor to tell her not to do it. This is because it becomes close to impossible to Screw Destiny once you've read it. Reading ahead would seal their fate, with no way to know if it would be for better or for worse.