It's Not Easy Being Green - S5-E16
Continuity mistake: As Hank tells Bill & Dale that they are going to drain the quarry (whilst in Dale's basement) and Dale lets his burning cigarette drop. Dale & Bill start to freak out and it goes to a wide shot of the three of them & the cigarette Dale dropped is not on the ground anymore.
It's Not Easy Being Green - S5-E16
Continuity mistake: When Hank, Dale & Bill go to the quarry to get the car, they use a tow truck to try and pull it up. If you look at the tow truck you can see it is a red color. Later on when the protesters come and are sitting in a circle and singing the tow truck is now orange. It stays orange for the rest of the scene.
Continuity mistake: After Peggy throws the tomato at King Philip you see it lands on the badge on his jacket. Most of the tomato lands about the top of his badge and seems to set on the top part. A few scenes later when Peggy is being put in the stocks for punishment you see Philip again and the stain has moved down the badge. Most notably the tomato stain looks larger and a large chunk of it has moved below the badge onto the shirt.
Continuity mistake: When Hank and the family are approaching Cotton's table at the rummage sale, there are two empty knife sheathes and one sheathed knife on his table. In the next shot, there are 3 sheathes and 2 knives out of the sheathes. (00:03:25)
Continuity mistake: When Hank's trying to convince his dad to let the Vietnam vets join the VFW, the table behind him with the bowl of fruit and the vase of flowers on it disappears between shots. (00:12:45 - 00:13:15)
Continuity mistake: When Hank's trying to convince his dad to let the Vietnam vets join the VFW, the table behind him with the bowl of fruit and the vase of flowers on it disappears between shots. (00:12:45 - 00:13:15)
Returning Japanese (1) - S6-E21
Continuity mistake: On the plane whilst Bobby is watching the TV in front of him, you can see a man to the left of Bobby and an empty seat to Bobby's right. The seat arrangement looks to be like the middle row of seats where there is 3 seats instead of two. After the shot shows footage for the "Haiku" movie the shot changes to Bobby and the man sitting next to him but there is now no empty seat next to Bobby. It appears that he is now sitting at a window seat.
Continuity mistake: In the scene where Bobby is in the closet, he takes off his shoe.When Hank walks in and pulls him out, Bobby's shoe is back on.
The Fat and the Furious - S7-E2
Continuity mistake: When the woman at the hot dog contest says Bill is a freak and he gets depressed, he spits out the dog. On his plate there only a few hot dogs. After Hank talks to Bill, there are many more.
Continuity mistake: After Hank calls Bobby into the room to talk about the woman's magazine Peggy discovered, you can see Peggy's hair is a little messed but nothing in it. A few shots after Hank asks Bobby about making the turkey there is a close up shot of Peggy and she has a few stains in her hair which disappear in the next shot. The stains look very similar to the ones she gets a little later on when she falls on the turkey.
Continuity mistake: The door to the slaughterhouse (which Luanne blocks with the barrel) changes configurations between shots. When Trip is trying to get in, the exterior is blue with a doorknob. After Peggy busts in, it is white with a pushbar across the middle. The interior is white with a pushbar in all shots.
Megalo Dale - S7-E10
Continuity mistake: Chuck Mangione is shown living in the Mega Lo Mart, having faked his death after the explosion. Yet, he was shown in "Death Of A Propane Salesman" at Buckley's funeral.
I Never Promised You an Organic Garden - S7-E18
Continuity mistake: During the scene where Peggy still finds insects over the tomatoes, she goes to show Hank one of the tomatoes. As she is showing the tomato it has around six or seven flies buzzing around it. The next shot shows Peggy from behind still holding the tomato, and you can see there is not one fly around the tomato anymore.
Continuity mistake: Peggy's shoes go from purple to white in one shot in Nancy's kitchen.
Continuity mistake: At the end when Laoma is crying and hugging Bill, the tears on her face are on her cheeks. As she asks, "Wait, Astronaut who?" the tears are now just found near her eyes. As Bill explains, she has her hands on his shoulders. She then turns and the tears are not even in her eyes now.
Continuity mistake: Episode 22, "Talking Shop": Whilst Bobby and Stacey are working on the car at the end, Bobby puts the wrench down on the car next to him. When he asks for the socket wrench, the wrench he had put down has disappeared.
A Rover Runs Through It - S9-E1
Continuity mistake: At the beginning of the episode, after Peggy's mother calls, Hank says "What's it been? Twenty years?" But they spoke with Peggy's mother during the events of the episode "Happy Hanks Giving." Hank spoke to her on the phone, Peggy shouted at the phone, and Hank commented on Mrs. Platter not approving of propane.
Continuity mistake: In the scene when Lane Pratley comes into the woman's changing room after the first game he is holding the player's cheques by his waist. When the shot changes to a closeup of him the cheques have instantly moved to Lane holding them next to his chest.
Gone with the Windstorm - S9-E13
Continuity mistake: Just after Dale, Nancy and Peggy get past the police blockade in the news van there is an overhead shot of the van and you can see Dale doesn't have his fake moustache on anymore. The next shot he is taking off the fake moustache.
Gone with the Windstorm - S9-E13
Continuity mistake: As Hank jumps out of the closest to scare the boy that is scaring Bobby, we see the contents of the cupboard as well. We see a shelf with a large number of boxes. Clothes rail with many clothes hanging on it. Finally an assortment of objects on the ground. When Hank leaves and the father is wondering where his son has disappeared to we see inside the cupboard again. Everything including the shelf, clothes and clothes rail have disappeared. The only thing remaining is one small box in the left corner.
Answer: If you are talking about the "Thou shalt not do this, thou shalt not do that" song, I'm not sure if a song like that actually exists. Green Day, the guest voices on the episode, might have just been improvising to keep their appearance from being too obvious.