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: 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.
Plot hole: Can't fault this massive plot hole to the adaptation, but to the source material; the culprit (forgetting the stupidity of writing an incriminating letter detailing the plan to murder someone, and put it in a desk he shares with her) since there are people outside the room that are about to enter, tears the letter in 3 neat vertical strips, rolls them, puts them in the vase on the mantlepiece, and then opens the side door to slip away...instead of simply pocketing the letter and going through that same door. Nobody was going to search him or anything and could have burned it, torn it into confetti, anything, later. It takes way way longer to do what he did, which needed him to stay there in the room increasing the chances of being found out. And of course he and his accomplice do not retrieve the letter after.
Plot hole: If the electrical lights go out at a quarter past ten at Guardbridge, how come there is bright electrical (as suggested by it not flickering like candle light) light coming from a room behind Hal Stanton and Catherine Faulkner when they kiss? This scene takes place after 22:15.
Continuity mistake: When Tatewaki gives Ranma 'permission' to date his sister, the guy behind his rising sun fan (school bag in his left hand) switches hair color from black to brown. (00:03:15)
Continuity mistake: Debbie Dobson is looking through a photograph album, the pages she has open have photos of her sister Gemma. The angle changes when Gemma enters the room, just before Debbie turns the page the photos that can now be seen are of Debbie herself. (00:04:45)
Continuity mistake: When Hayden starts doing his good luck routine, there is a football on the left side of the couch on a pillow. When he stands on the couch the ball rolls off the pillow. When he steps off the couch the ball is suddenly on the other side of the couch. The next shot the ball is back on the pillow.