Continuity mistake: When Moe is sorting out the flowers at Moe's bar, you can see there is nothing behind the beer taps on the counter, but in the next shot a jar of pickled eggs appears from nowhere.
Continuity mistake: When Maggie is swinging a spade at the other children in the playground, there is a tree behind her that disappears in the next shot.
Continuity mistake: When Homer is pushing Maggie along in her pushchair, Santa's Little Helper comes along and you can see that Maggie has a dummy in her mouth. In the next shot, the dummy has disappeared.
Continuity mistake: At the beginning of the episode, the doormat outside the Simpsons' house is green, but when Maya and Moe arrive at the Simpsons' house for their double date later on, the mat is now purple.
Tree House of Horror XII - S13-E1
Continuity mistake: In "Wiz Kids", when Milhouse is performing his trick at Springwart's Magic Recital, the trick goes wrong and he runs off naked, leaving his cloak on the floor. Later on in the scene, the cloak disappears.
Tree House of Horror XII - S13-E1
Continuity mistake: In "House of Whacks", when Homer attacks the tank, he puts the axe in the right hand side of the tank, but in the next shot the axe is now in the middle of it.
Tree House of Horror XII - S13-E1
Continuity mistake: In "House of Whacks", when the tools are attacking Homer, you can see one of the tools puts shaving foam on his face. But when he is walking down the stairs, the foam has gone.
Tree House of Horror XII - S13-E1
Continuity mistake: In "House of Whacks", when Homer is sitting on the settee, you can see his beer glass is empty, even though a few seconds ago it was nearly full.
Tree House of Horror XII - S13-E1
Continuity mistake: In "House of Whacks", when the dishes are cleaned, you can see by Marge's plate there is a spoon and a fork. In the next shot, there is now only a spoon, which disappears in the next shot.
Tree House of Horror XII - S13-E1
Continuity mistake: In "House of Whacks", when Marge has finished eating her meal, you can see a spoon on her plate. But when she is seen on the camera, the spoon has gone.
Tree House of Horror XII - S13-E1
Continuity mistake: In "House of Whacks", when Marge opens the door to the robotic salesman, you can see there is a green mat under the door. But when the salesman puts his foot between the door, the mat is missing, and in next shot the mat has re-appeared.
Tree House of Horror XII - S13-E1
Continuity mistake: In "Hex and the City", when the leprechaun knocks Marge's glass over on the table when she is eating her pancakes, the glass changes position between shots.
Tree House of Horror XII - S13-E1
Continuity mistake: In "Hex and the City", when Homer puts his spade in the ground when he is digging a hole with Bart, the spade keeps disappearing and re-appearing between shots.
Tree House of Horror XII - S13-E1
Continuity mistake: In "Hex and the City", when Lenny and Carl are crushed by the helicopter at the tavern, the liquid behind Lenny is white but changes to brown in the next shot.
Tree House of Horror XII - S13-E1
Continuity mistake: In "Hex and the City", when Homer, Bart, Lisa and Maggie are eating their breakfast at the table, they see Marge with a blue beard and Homer spits some food on the table. In the next shot, the food has gone, and when Homer goes to strangle Bart, it is back again.
Tree House of Horror XII - S13-E1
Continuity mistake: In "Hex and the City", when the Fortune Teller is speaking to Homer in her office, you can see the crystal ball is in front of her but in the next shot it has moved to the edge of the table.
Tree House of Horror XII - S13-E1
Continuity mistake: In "Hex and the City", when Marge, Bart and Lisa are at the Fortune Teller's office, you can see the Fortune Teller has three cards in front of her on the table. When Homer arrives, the cards have gone, and later on in the scene they are back on the table again.
Tree House of Horror VII - S8-E1
Continuity mistake: In "Citizen Kang", when the alien whips Marge's behind, you can see in the background there is a tree that changes to a crane in the next shot.
Tree House of Horror VII - S8-E1
Continuity mistake: In "Citizen Kang", when Homer pulls off the masks off the fake Clinton and Dole at the White House, the two transform into aliens and you can see Homer is between them. In the next shot, Homer is missing, and in the shot after that, he is back again.
Tree House of Horror VII - S8-E1
Continuity mistake: In "Citizen Kang", when Homer tries to save Clinton and Dole in the spaceship, Homer is standing behind a control panel and you can see there is nothing on left of it, but in the next a large lever suddenly appears.
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