
Continuity mistake: From the outside of the house, you can see the staircase and door are to the far left of the house. But from inside the house, you have a fireplace and the staircase to the right of the door. So you know it's not the same house they use in the show.

House Party - S2-E5
Continuity mistake: Kelly said her youngest brother can burp his whole name Kenneth Leonard Kapowski in one burp. However in the previous year, Kelly had an infant brother named Billy. According to this info, unlikely Kenneth would be younger than Billy.
Suggested correction: Kelly can have more than one brother because in the episode where Kelly gets her job at the Max she said "I cook every night for my 11 siblings". So he could be younger or just have a nickname.
The mistake is valid because she says her "youngest" brother, not "younger." In the episode "The Babysitters" (which was meant to air in season 1 and produced before "House Party"), her brother Billy is an infant and says his first words. Kelly has 6 siblings and she never said she cooked for 11 siblings when getting a job at The Max. She says she sets the dinner table for 9 people three times a night.
Ironically, the show only reveals 5 siblings each in their own individual episode. (#6 is unknown). Bennett (mentioned), Nicki (seen), Kyle (voice heard only), Kenneth (mentioned), Billy (seen) are the 5 of 6 siblings revealed.

Continuity mistake: This is a mistake for the introduction from seasons 2-20 (1991-2009). When Homer screams, he turns round. You see this in a wide shot. There are no boxes to the right of the door in the garage. However, two just appear out of thin air when he runs through the garage. (00:01:50)

Continuity mistake: Mr. Bean places his shoe on top of the car in the bottom right corner. But when he jumps out in front of the car, it is suddenly at the front in the middle.

Continuity mistake: Dauber draws a circle on the chalkboard, the shot changes, the circle is gone.

Asobi ja nainoyo gakkou wa - S1-E2
Continuity mistake: When Genma wins a bout of midair kicks and knocks him into the pond, the table is empty in the wide shot, while breakfast is ready when Kasumi speaks. (00:02:55)

Continuity mistake: When Doogie goes into his en-suite bathroom to shower, he takes off his dressing gown completely before pulling back the shower curtain to get in, at which point he gets temporarily blinded by a fan taking a photo of him with a camera. A few seconds later, he's shown putting his dressing gown back on, even though there wasn't enough time for him to have picked it back off the floor and start redressing.