Continuity mistake: Peter and Luke Perry go into Peter's house, and sit down. The door is open when they sit down. In the following close-up of Luke Perry, the door is closed, with no evidence of anyone, or anything, closing it.
Fifteen Minutes of Shame - S2-E12
Continuity mistake: When the Griffins are invited down from the crowd, the whole audience seating arrangement changes when the camera view is from behind them facing onto the audience.
There's Something About Paulie - S2-E16
Continuity mistake: In the scene where Peter is outside the cinema waiting for Big Fat Paulie, he has a tie on, however when he is in the cinema walking up the aisle, it's gone. When he gets out again, he has it on. (00:07:40 - 00:08:50)
Continuity mistake: When Stewie shoots the darts at Lois through the straw they get stuck to the cupboard door but in the next shot they are gone.
Continuity mistake: During the scene where Chris walks into a hardware store, the antennae on the control on the back of his head change from straight to curled to straight again.
Suggested correction: I watched the hardware store scene carefully but I didn't see any difference on the format of the antenna on Chris' head. It's always stay curled in the whole scene.
Continuity mistake: When Peter shows Lois the newspaper about the play the headline "Long live this King" is in black text. In the next shot when he puts the paper on the bed, the headline has changed to red text. (00:21:10)
Peter, Peter, Caviar Eater - S2-E1
Continuity mistake: When Peter and Brian are lounging in the pool, Peter's beer can appears on his stomach between shots. (00:09:30)
Continuity mistake: When Spooner St. is announced as the parade's winner, Lois and Loretta hug. In the next shot, they are both waving their hands in the air.
Continuity mistake: In the first shot of Peter and Francis at the baseball game, there is a girl in a green dress sitting behind them. In the next shot there is a guy in a cream shirt sitting behind them. (00:06:40)
If I'm Dyin' I'm Lyin' - S2-E9
Continuity mistake: Before Lois runs upstairs to Get Stewie out of the bloody tub, the pictures on the wall (behind Peter's head) of Chris and Stewie switch places between shots.
Continuity mistake: When Stewie is building with blocks, you first see a pyramid with three blocks on the bottom and two on the top. The shot changes, and he puts two more on the top, near the edge. When the shot changes again, suddenly there are five blocks on the bottom, six on the second layer, and two on the top near the middle. The letters and pictures are also all different. (00:09:50)
Continuity mistake: In the 'Titanic' spoof, just as Jack says "Yeah, about that, I was pretty sure I was gonna die", his head and body change distinctly between shots. (00:16:25)
Continuity mistake: In the scene where Peter and Lois are "getting dressed", the candles in the background switch from having candle holders to not having candle holders.
He's Too Sexy for His Fat - S2-E17
Continuity mistake: Stewie gets progressively fat throughout the entire episode, but in the last scene he is thin again.
Continuity mistake: Stewie takes the card from the predictor machine in his left hand but on close up it's in his right hand. (00:04:30)
Continuity mistake: When Stewie is in his room talking to Rupert and himself out loud about Janet we see that Rupert is on the left side of Stewie's pillow. When the camera pans over to Brian who overhears Stewie's musings, after Brian makes fun of Stewie the camera pans back and Rupert is gone. There is also a quick tete-a-tete on the color of Janet's eyes and the final shot is on Stewie and his crib and yet no Rupert to be found. (00:07:20)
Continuity mistake: During the end of Peter's "revised" version of "The King and I" right after the scene where Brian and Peter kung-fu fight, the scene transitions to the next scene where a bunch of girls with bikinis on are surrounding Peter. During the transition, a girl appears out of nowhere. She is blonde and is leaning on Peter. (00:19:10)
He's Too Sexy for His Fat - S2-E17
Continuity mistake: Just before the pest control team leaves for the Griffins', we see the black team member holding a shotgun in his hand. After showing Logan in shot, it returns to the black member and he's now holding what looks to be an MP5 machine gun. In the following shot as he starts to slide down the pole, the gun is once again a shotgun.
Continuity mistake: When Peter and Lois kiss and make up at the end, Tricia and the press run up to them. As they arrive there is no-one behind Tricia, but in the next shot there are three people behind her. (00:21:15)
If I'm Dyin' I'm Lyin' - S2-E9
Continuity mistake: In the scene that parodies "Good Times" and the "JJ" character says the infamous line "Dy-NO-Mite!" as he comes home, his mother has a coffee mug but his father doesn't. In the next shot, they both have mugs.