In the "Saving Private Brian" episode, Stewie warns Brian, "You can't run away from the Army. They'll come after you, like Peter went after that hockey coach." After a pause: "What, no clip? Thought we had a clip."
In another episode, when Peter launches himself with a catapult. We get a scene of a man in a room, going over a list of all the precious, easily breakable things that are in that room (including a hemophiliac baby). Of course, Peter lands... right outside the window to the room, and proclaims "Those are all nice things!"
A more classic example happens when Peter tries to deviate a parade to his house for Stewie's birthday party. He waits ahead at a fork for the parade to come holding a Detour sign... then he slams it on the parade leader's head, knocks him out, steals his uniform and leads the parade to his house.
In the episode "Brothers and Sisters", Mayor West tells Carol he has aides, leading Carol to think West meant the STD. West points to two men that are his aides and then says they have AIDS.
There's another episode where Adam West is looking for a sign to warn people about his ferocious dog. You would think he's looking at the "Beware of Dog" sign, but he's actually looking at the "One Way" sign, so that people will know that there's only one way they can go to get away from his dog.
In a Cutaway Gag, Peter thinks back to when he was potty trained. The flashback starts by showing Peter as a kid, but the camera zooms out revealing it was only a picture showing a full-grown Peter running up to Lois saying, "Lois, I did it!"
In the episode where the Griffins have a reality show set up in their house, Peter speaks to the executive producer and says, "This is what I think of your contract!" As he says this, he holds the contract as if he's going to tear it in half, but he doesn't. He just sets it down and says that he thinks the contract is stupid.
Towards the end of the episode, "Pick Up Your Ears", Lois tries to think of a way to get into Chris' school, which she had been banned from, and the school is safely guarded by security. Naturally, Peter has a plan. Cut to a very tall man in an overcoat, who's head clearly looks like Peter's and legs look like Lois', but then the camera cuts back to show Peter and Lois still hiding behind the bush. Peter says that guy in the overcoat is large enough for them to get behind him and sneak in.
In another Cutaway Gag, Peter places a dollar on the ground underneath an anvil he is hanging by a rope in a tree, he waits to drop it on someone who picks up the dollar, but only seconds later, he falls for his own trick by saying, "Ooh, a dollar!" and going after it only to smash himself.
In an earlier episode, there's a Cutaway Gag where Peter cuts a cake but ends up accidentally slicing a woman inside the cake (who was supposed to surprise the guests by jumping out of it). Peter yells, "Ah, crap!" but not because he killed the woman; it was because the cake was coconut flavor.
The episode, "Killer Queen", has a Running Gag where Brian comes up with many creative ways to get Stewie to see the giant robot on the cover of Queen's News of the World album, which scares him to death. At one point, Stewie walks into his room and sees an unopened Jack-in-the-box. At this point, Stewie thinks he's onto Brian thinking the robot will pop out. He turns the crank anyway, and it turns out to be just a normal clown. Stewie sighs of relief, but turns around only to see the that Brian painted the robot on his wall.
When Peter comes across his old bicycle, he remembers how much fun he had with it when he was a kid. Cut to a young Peter having a tea party with his bike.
At the end of "Baby Not on Board", when Stewie sees the rest of the family returning home after they accidentally leave him home, he exclaims "Mommy! Daddy! Chris! Dog! Brian! They're home!" Ordinarily he uses "Dog" to refer to Brian, but due to Rule of Funny here he used it to refer to Meg.
In "If I'm Dyin' I'm Lyin'", before Peter walks into a TV executive office, a woman at the desk says, "You can't go in there." Peter responds, "Oh yeah? Watch me!" and then he hits a brick wall. Turns out that's why the woman said he can't go in there then directed him to the door next to it, which is what he should have used.
In the episode, "The Peanut Butter Kid", when Lois tells Peter she is returning his metal detector, Peter tells Lois that buying that metal detector was the best thing to ever happen to him, then he looks at Lois with a face of love and says, "Well...the second best." But then it suddenly cuts to A Cutaway Gag with him at an Usher concert he wasn't even supposed to be at where he gets pulled onto the stage by Usher.
In the season one episode "Running Mates", Lois ends up winning the position of school board president by default due to her opponent quitting, but she refuses to rehire a beloved teacher of Peter's from when he went to high school, so then we then see him lifting an ax over her head and saying, "Well, then I'm just going to have to kill you..." then the scene transitions to their front yard as he uses the ax to pound in his own lawn sign, stating "...in the race for school board president."
The "Dammit, Janet!" episode has Peter talking at the bar with his friends and griping how Lois wants a job. He then says, "I've got a job for you, baby; Right! Here!" As he points to his penis while saying it and then continues on, explaining, "See? The damn zipper's been broken for a week! I was hoping you could fix it."
One episode had Stewie threatening Brian saying that he'll do to him just what he did to John Lennon, which then shows a cutaway of him introducing John to Yoko Ono.
"And The Wiener Is..." has Meg (once again) trying to impress the "cool" kids, and she pulls out the answers to a test. When questioned about how she acquired this, she explains that she spent the night with their teacher, only for it to cut to her staying up sitting in his room while holding a stake and a hammer while he sleeps in his own bed with garlic around his neck while also clutching a cross then waking up and thanking her for helping him to "ward off evil" (presumably vampires) for another night.