Revealing mistake: The firefighters, apparently the fastest men in the universe, appear no more than 10 seconds after the fire starts.
Continuity mistake: Shawn steals some fruit just before the interview starts. He empties the whole bowl into his backpack. When the interview starts, the bowl is full again, with the exact same fruits that were just taken by Shawn.
Easy Street - S4-E12
Continuity mistake: In this episode Alan says that Eric woke him up on his 16th birthday to get his driver's license and it's a tradition for the men of their family to go with their fathers and get their license, however in season 1 when Eric does get his license, he says that Amy and Alan let him go off with Jason to get his license and there was no celebration.
Factual error: When Shawn has first infiltrated the college philosophy class, the professor begins to resume the class' previous lesson on what he calls "Buridan's paradox," relating a dog caught equidistant between two bowls of food. This paradox in real life is known as "Buridan's ass," and as the name would suggest, concerns a donkey. While the name was probably changed to sound more family friendly, a college philosophy professor would certainly know the proper name and details of said paradox.
I Ain't Gonna Spray Lettuce No More - S4-E3
Continuity mistake: At the beginning of this episode, Cory asks Alan for money for his class photo. When Alan asks what grade Cory is in now, Cory says 11th. However, at the end of the previous season, Cory had just finished 9th grade (he and Shawn are both 15) and he spent his summer traveling the country with Eric. He should be in 10th grade, not 11th. This is further complicated later in the season, when he turns 16 and gets his driver's license. If he was in 11th grade, he would have already turned 16 and gone through driver's ed.
Other mistake: A lot of times in scenes in episodes taking place in high school, characters are shown walking up to their lockers and opening them without putting in the combination first.
Other mistake: When anybody leaves the house, you can always see that when they open the door, they turn left and go; you can also see bricks/part of a porch in front of the door. But when the house is shown from the front, the fences are on both sides of the door, but not in front of it. So there is no way that they could turn left when leaving.
Continuity mistake: After Topanga draws a lipstick heart around her face and Shawn says "Use a mirror, babe," a closeup is shown of Topanga smiling at Shawn and you can see Cory has lipstick on his forehead before Topanga has drawn it on him. (00:20:30)
Revealing mistake: In the epilogue when Eric and Jack's skeletons collapse, the wire holding them up is visible.
Revealing mistake: While the girl who just broke up with her boyfriend is on the phone with the ex, she is throwing his stuff out the window. As she throws the last couple of CDs out the window, you can see the backdrop of the beach sway a little bit.
A Very Topanga Christmas - S5-E11
Continuity mistake: When Topanga tries the egg nog, you can tell that there is nothing in the paper cup.
Continuity mistake: When Cory is getting food for Shawn, he's piling meat loaf onto his plate. There are three pieces, one on top of the other two, then they cut to a wide shot and back to a close up of Cory, and it's just one larger piece.
It's a Wonderful Night - S1-E18
Other mistake: When Eric is ordered to go to his room he mentions that Feeny used to be his 6th grade teacher. However, later in the series it is emphasized several times that Mr. Feeny was Cory's teacher every grade he was ever in. With Cory only being 3 years younger than Eric, it would not be possible for Feeny to have been Eric's 6th grade teacher as Cory would have been in 3rd grade and had Feeny as a teacher per what is stressed on multiple occasions later in the series.
Continuity mistake: Just after Cory talks about being a "baby shower machine", Morgan walks past him. There's then a quick shot of Alan and then we see Cory again, and again Morgan walks past him. It's not the same shot from two different angles, as Cory is acting differently each time.
Revealing mistake: When Cory writes "Hey Dude" on the chalkboard, you can see how it had been written and erased several times, indicating previous takes.
Santa's Little Helper - S1-E10
Visible crew/equipment: After the bell rings and Mr Feeny says "Have a wonderful vacation," a boom mic can be seen dropping from the top left of the screen as the students are rushing out of the classroom. (00:17:20)
The Pink Flamingo Kid - S3-E17
Visible crew/equipment: After Amy says to Eric, "Whatever makes you and Kyle happy", the shot changes and a boom mic can be seen being pulled out of view on the left side of the screen.
Deliberate mistake: Shawn fishes Mr. Feeny's watch from the septic tank and mentions the septic tank is deeper than it looked. Given this, he should be covered in human waste, instead of just looking a little dirty.
Visible crew/equipment: After Amy's C-section Alan walks into the waiting area, and just as his kids gather around him in the wide shot the boom mic dips into view at the top, center of the screen between Alan and the plant (viewed on iPad screen). (00:20:10)
Continuity mistake: When Cory is lying on the couch during his argument with Topanga, the pink pillow is under his right shoulder. A few shots later, it is suddenly under his neck. (00:17:00)