Continuity mistake: Quagmire and Meg are sitting on the couch. From out of nowhere he gives Meg a gift for her birthday. He came over empty handed.
Other mistake: When Peter was rescuing the Fishmans he totally missed grabbing the woman's hand but she didn't fall. (00:19:50)
Chitty Chitty Death Bang - S1-E3
Revealing mistake: After the manager of the arcade takes money from other customers and cancels Stewie's reservation, Peter and Chris start walking along a row of arcade machines. Here the background was just copy and pasted over again, as they walk by the same place twice, and start a third time before the scene changes. (00:07:35)
I Never Met the Dead Man - S1-E2
Continuity mistake: At the stop light, Meg starts racing a guy on a horse drawn carriage. When they leave the light, they are going down a road by a cliff side, and suddenly there are no lines in the road from the side angle. When it cuts to the carriage's wheel coming off, suddenly there is a dotted yellow line in the road by it. (00:03:17)
Crimes and Meg's Demeanor - S16-E8
Continuity mistake: At the beginning of this episode Peter is talking to Meg about her senior year in high school. This makes no sense considering she turned 18 in season 10, which was released in 2012.
And Then There Were Fewer - S9-E1
Continuity mistake: When Muriel is killed in the flashback, she is on the floor with her arms open and head down. When they find her, her head is tilted and her arms are straight to her body.
Factual error: Peter is posing as a blow up sex doll. The tester picks him up like he doesn't weigh anything. Not possible.
Continuity mistake: Peter falls from the roof of the Clam landing on Joan Cusack. He puts her body in a mailbox that appears just for this scene.
Road to the Multiverse - S8-E1
Other mistake: In every universe - except for the double-headed universe - Brian and Stewie travel to, they (seem to) replace the version of themselves that universe already has of them, but then in the Dog universe they have a separate version of themselves that they continuously interact with.
Ocean's Three and a Half - S7-E7
Factual error: Bonnie changes Susie and Joes diaper. There's no way Joe wears the same size diaper as Susie.
Boys Do Cry - S5-E15
Other mistake: Towards the very end, they automatically head to the car, planning to leave Texas, without any of their items from the house packed in the car after running away from the mob at the Miss Pageant Contest.
A Picture Is Worth 1,000 Bucks - S2-E11
Other mistake: Brian says he met Antonio Monatti when he was with Andy Warhol in the '70s. This is an impossibility. Only several episodes earlier (in episode Brian in Love), we find out that Brian is 7 years old.