Mr. Spritz Goes to Washington - S14-E14
Audio problem: At the end of the episode, when the guy who helped the Simpsons pass the bill says, "I just passed a bill in three hours. Quit complaining," his mouth movements don't match the words.
Scuse Me While I Miss the Sky - S14-E16
Audio problem: In Declan Desmond's film of Springfield Elementary shown at the end, Kearney and Dolph start beating Jimbo up. After Kearney says "Sellout," he says "Yuppie" in Dolph's voice. Then Dolph says "Soccer Mom" but in Kearney's voice.
Dude, Where's My Ranch? - S14-E18
Audio problem: When Bart gets the beavers to knock down the tree so that Clara can walk across, she gets onto it and starts walking gently. But when she walks gently, it sounds like she's walking quickly across the trunk.
A Star is Born-Again - S14-E13
Audio problem: When Lenny talks about selling Sara's autograph on eBay, his lips don't match what he says.
Treehouse of Horror XIII - S14-E1
Audio problem: When Homer is playing the piano, and Marge is playing the cello, Frink grabs Homer and pulls him into the room. However the playing of the piano continues, even after Homer is pulled away. (00:13:50)
Dude, Where's My Ranch? - S14-E18
Audio problem: Homer groans and Mr Burns' lawyer points out that the note that he groans in is A flat. On the version that I heard it on (The Simpsons Christmas 2 DVD) he actually groans in the note A.
Audio problem: When Bart's gang is singing their song and Nelson is playing the banjo, he sings "because she's dead" and plays different notes yet his hands don't move along the neck of the guitar.
Strong Arms of the Ma - S14-E9
Audio problem: The speech does not match the lip movements from when Bart says, "dad, do you plan to get in shape?" until Lisa says, "Uh guys, mom just left the basement." (00:12:17)
Strong Arms of the Ma - S14-E9
Audio problem: When the piano is playing Fur Elise, the keys do not move.
Strong Arms of the Ma - S14-E9
Audio problem: When Marge sprays the pepper spray at Ralph, the line she says after does not match her mouth.
Strong Arms of the Ma - S14-E9
Audio problem: When Homer says he'll eat twice as much, Bart says excellent, but that doesn't match his mouth.
A Star is Born-Again - S14-E13
Audio problem: When Homer tells Ned "Flanders, I'm always interested in talking about free milk. And if there's cookies involved, so much the better", his mouth is not in sync with his voice.
Strong Arms of the Ma - S14-E9
Audio problem: When the woman who smashes the piano says "support the arts", her mouth is open, but it doesn't move.
Dude, Where's My Ranch? - S14-E18
Audio problem: When Homer and Bart go to destroy the beaver dam, Homer says "Oh, boy" without moving his mouth.
Dude, Where's My Ranch? - S14-E18
Audio problem: When Bart attempts to free Homer from the beavers, he says "I'll save you", but his mouth doesn't match what he's saying.
Dude, Where's My Ranch? - S14-E18
Audio problem: At the recording studio, when Homer sings the Frankenstein and Dr. No line, his mouth doesn't match what he is saying.
Bart vs. Lisa vs. the Third Grade - S14-E3
Audio problem: When the third graders get on the bus, Otto says "pukers in back", but his mouth is open and his lips don't move.
Answer: I'm not sure if this is the one you're thinking of, but an episode of "Ray Bradbury Theatre," called "A Sound of Thunder," dealt with a similar matter: a group of hunters travel back in time to hunt dinosaurs, only to find things have changed when they get back because someone stepped on a butterfly.
Xofer