Tree House of Horror V - S6-E6
Continuity mistake: In "Time and Punishment", Homer kills a mosquito whilst back in time with the dinosaurs and you can see in the background there is a volcano, but in the next shot the volcano has gone.
Tree House of Horror V - S6-E6
Continuity mistake: In "Time and Punishment", the family are eating breakfast at the table and you can see there is a glass next to Lisa's plate. But when Lisa says "Dad, your hand is jammed in the toaster!" we cut back to Homer and Lisa and the glass has disappeared.
Tree House of Horror V - S6-E6
Continuity mistake: In "Time and Punishment", Homer has his hand jammed into the toaster and you can see Bart has a plate in front of him at the table. But when we see a view of Bart in the next shot, the plate has gone.
Tree House of Horror V - S6-E6
Continuity mistake: In "Time and Punishment", when Homer is sitting at the breakfast table, he asks Marge to pass a doughnut to him and you can see there is a newspaper next to his plate. But when Homer runs off back to the basement, the newspaper has gone.
Tree House of Horror V - S6-E6
Continuity mistake: In "The Shinning", Homer looks into the mirror and you can see the carpet at the bottom of the steps is coloured pink. But when Homer falls down the steps in the next shot, the carpet is now green.
Tree House of Horror V - S6-E6
Continuity mistake: In "The Shinning", Marge goes to see the typewriter and you can see that viewed from behind the paper in the typewriter is crooked, but when the camera angle changes in the next shot, the paper is now straight.
Tree House of Horror V - S6-E6
Continuity mistake: In "The Shinning", Smithers is helping Mr Burns to put crates of beer into the car and you can see there is nothing on the lid on the car boot, but in the next shot a wheel appears from nowhere.
Springfield Connection - S6-E23
Continuity mistake: While the Simpsons are eating breakfast, Lisa is eating what seems to be cereal from a bowl, but when she asks Marge if she needs to take a bullet for the mayor, she now has a plate in front of her with eggs and some other food.
Springfield Connection - S6-E23
Continuity mistake: The clothing of the women at the hair salon (Maude, Agnes, and Mrs. Krabappel) keeps changing color throughout the entire scene.
Continuity mistake: When Homer arrives at the Van Houten house for Milhouse's party, Janey is among those at the entrance and she appears with yellow skin twice.
Grandpa vs. Sexual Inadequacy - S6-E10
Continuity mistake: In one scene in Bart's treehouse, Wendell's skin is yellow, rather than its usual white color.
Continuity mistake: When Chief Wiggum pulls Homer over for speeding, all the clown decorations on his car have disappeared.
Continuity mistake: When the Shelbyville kids drop the basket of lemons when Bart and friends start throwing lemons at them, the position of the basket changes when the Shelbyville kids run off. Note the colour of the Springfield grass and the Shelbyville grass.
Continuity mistake: While Bart is being beaten up by Nelson and Jimbo, Nelson is on the right side and Jimbo is on the left side. In the close up shot, you can see from their arms that Nelson and Jimbo have switched sides.
Tree House of Horror V - S6-E6
Continuity mistake: In "Nightmare Cafeteria", a teacher walks into the classroom and sees Bart sitting at his desk facing backwards. At this point, you can see the lockers behind the teacher are white, but in the next shot they are blue.
Tree House of Horror V - S6-E6
Continuity mistake: In "Nightmare Cafeteria", when Bart is being served his lunch at the lunchroom, his tray is initially plain but in the next shot it is now divided into six squared segments.
Tree House of Horror V - S6-E6
Continuity mistake: In "The Shinning", Homer is eating a bag of crisps while sitting on the sofa and you can see "Potato Crisps" logo on the bag is coloured red, but in the next shot it is now blue.
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