Continuity mistake: The father was known as Clifford in the beginning but the name was changed to Heathcliff (you can see this on the nameplate for his office).
Continuity mistake: After Theo gives up an extra $100 for clothes, he is holding $300 left in his hand. However when the camera switches back to Cliff, who asks how much is left, it switches back to Theo, who is only holding $200 left.
Mr. Fish (a.k.a. Goodbye, Mr. Fish) - S1-E2
Continuity mistake: While some of the family is eating, the cup in front of Denise disappears than reappears.
Mr. Fish (a.k.a. Goodbye, Mr. Fish) - S1-E2
Continuity mistake: During the scene when Cliff is explaining to Rudy that her fish is dead, the fish food disappears at one point then reappears.
Breaking With Tradition - S1-E6
Continuity mistake: Theo and Cliff walk into the kitchen and Cliff sets the basketball on the counter. Theo walks upstairs. When the camera is back on the counter the basketball is gone.
Rudy's Sick - S1-E12
Continuity mistake: When Rudy is lying in her bed when Cliff is telling her about the germs in her body, her position on the bed changes between shots.
Continuity mistake: When Cliff is giving the kids their dinner, the pan cover keeps changing position.
Continuity mistake: The amount of water in Clair's cup changes a couple of times, most noticeably after Cliff tells her what she is eating, she takes a drink and the cup is about 1/3 full. She gets up to go find Theo, and now there is very little water in the glass.
Continuity mistake: After Cliff talks to Peter, Theo is told to run to the neighbors across the street. However, he can be seen in the background of some shots when the twins do their game. As soon as the twins finish, Theo is shown coming back into the house.
Continuity mistake: At the very end of the episode Clair's glass is suddenly fuller after Denise gets done singing.
Chosen answer: That is the song "Open the Door Richard."