The Essence of Cleveland - S2-E18
Continuity mistake: When Cleveland takes the tape out the camcorder, he starts writing. In the first shot, he's only just started writing, but in the next shot he is at least 70% of the way through writing. (00:12:00)
To Live and Die in Va. - S2-E17
Continuity mistake: When Rallo tells his friends the farmer's daughter joke, the friend on the right is wearing white shoes. However when Rallo says "Oh man. Murray and his friends are so lucky their mamas are dead", the right friend is now wearing black shoes. (00:10:50)
To Live and Die in Va. - S2-E17
Continuity mistake: When Cleveland Junior tosses the cereal on the floor, the position of the cereal changes when Cleveland goes to put it under the fridge. (00:11:45)
Continuity mistake: Cleveland Junior's pots and pans suit causes loads of damage to the kitchen. Yet as Donna walks into the kitchen, there is much less damage. (00:01:00)
Continuity mistake: When Cleveland suggests Tim should take in Robert, the four beer bottles in front of them change position between shots. (00:10:00)
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: 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)
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 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 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 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 asks Donna, Arianna and Kendra to be Cleveland's Angels, they are standing in front of the fireplace even though a few moments ago they were sitting down at the table on the other side of the room. (00:15:20)
Continuity mistake: Nothing is on the couch (except for a cushion) when Cleveland creeps into the house. A remote suddenly appears on the couch a few seconds later. (00:09:15)
Continuity mistake: At the start of the church ceremony, Junior and Roberta are present, so it must be a weekend because they would have to be at school on a weekday. Later that same day when Cleveland is washing a mule he says it's Wednesday when it should be a Saturday or Sunday. (00:10:50 - 00:12:20)
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)
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.