Continuity mistake: At the beginning of the episode, it is the middle of the night when it shows the first shot of The Drunken Clam. This is at the very beginning of the episode and not the first scene after the opening titles by the way. But after Cleveland says he lost the house to Loretta in his divorce, Quagmire asks him where he is going to live. Cleveland replies by asking Quagmire if he can stay at his house. When he says this, it is now the middle of the day. You can notice this from all the other open windows in all the other booths, revealing the daylight. (00:00:05)
Continuity mistake: When Peter launches himself off a firework into Cleveland's house he hits the top floor and completely misses the ground floor. Yet the entire house is damaged including the ground floor. (00:01:25)
Continuity mistake: When Cleveland is trying to convince Donna to be with him, it is the middle of night. But as Cleveland and Donna kiss and the camera pans round, daylight can be seen outside the window. (00:19:55)
Da Doggone Daddy-Daughter Dinner Dance - S1-E2
Continuity mistake: When Cleveland drops Cleveland Junior off at school, Junior gets out at the back of the car and he is taller than the car's height. In the next shot, he is standing at the front of the car without enough time to move there and he is smaller than the car's height. (00:01:40)
Continuity mistake: At the start of the meeting, Ernie is wearing no socks. But when Lester says "I ain't leaving with out my son", Ernie suddenly is wearing socks. (00:17:15)
Continuity mistake: When Cleveland and the Child Services agent are hiding behind the couch during the gunfight, the bullet holes in the wall next to them change position between shots. (00:18:45)
Continuity mistake: When everyone is having breakfast and Donna tells everyone to make their beds, Donna is standing straight. However, in the next shot Donna is now slouching. (00:01:00)
Continuity mistake: When Cleveland is doing his Mini Mall rap, there is a shot of him next to a bed and wardrobe. However, when the shot zooms out, next to him is now a mirror. (00:02:25)
Continuity mistake: When Cleveland, Tim and Terry are at the Broken Stool, in front of them are empty beer glasses and a top hat right next to the glasses. However, when it shows the shots of Cleveland and Terry, the top hat is now several inches away from the glasses. (00:12:00)
Continuity mistake: When Terry crashes the van into a lamp post, the wing mirror smashes. But after Cleveland has his flashback and Terry looks into the wing mirror to spot the police, the wing mirror is now intact. (00:13:05)
Continuity mistake: Cleveland takes the photo album off his dad and his dad gives him the dirty look. Cleveland drops the album but disappears in the wide shot of people fighting. (00:04:45)
Continuity mistake: Roberta goes to leave the house and she starts a tug of war with Donna. They are standing next to the door in this shot, but standing next to a table about 15 seconds after. (00:04:45)
Continuity mistake: Cleveland smashes a bottle to defend himself with. In the wide shot, all of the smashed glass disappears off the ground. (00:04:55)
Continuity mistake: Cleveland drops a spoon Junior throws at him. It disappears a few seconds later. (00:04:55)
Continuity mistake: When Auntie Mama arrives, her bag is a light blue color. 2 shots later, the bag is now a dark blue color. (00:05:00)
Continuity mistake: In the wide shot of the fight, Rallo is sitting on the couch. When Donna, Roberta and Rallo say "Auntie Mama", Rallo is suddenly standing next to Donna and Roberta. (00:05:00)
Continuity mistake: When Cleveland is vomiting at the table, some of the vomit goes over his food. That's the only vomit that goes on the table. In the next shot, the entire table is suddenly filled with vomit. (00:15:15)
Continuity mistake: In the 1984 flashback, when Cleveland chases Wally, Wally trips and drops his computer. When this happens, the computer goes off screen. But in the next shot, all the damage from the computer is right next to him. (00:01:40)
Continuity mistake: When Cleveland Junior walks into the locker room to see his locker has been broken into, the door behind him is open. Two shots later, the door is now closed. (00:15:05)
Continuity mistake: Ms. Eck shows Roberta her grade and she says it's a C minus. However, the paper shows the grade is an E minus. (00:04:00)
Answer: In the episode "A Rodent Like This" Rallo discovers that Cleveland Jr. is actually a secret agent who is tracking down Tim, who is actually criminal. Jr. reveals that in order to get close he had to eliminate the real Cleveland Jr. luckily Cleveland doesn't pay attention so it was easy. Whether or not this is canon or not depends on the writers.