Some TV shows actively court controversy, because as we all know, there's no such thing as bad publicity. On the other hand, there have been others that have all the best intentions, but still end up making a bunch of people angry. In the case of these 11 shows, the reasons people got angry were pretty ridiculous.
Controversy: A 10-year-old boy talked back to his parents
Bart Simpson was America's Bad Boy (I mean, he even said it himself) and he had a reputation to match it. Parents were shocked by a 10 year old hellion rarely being punished for his misbehavior, and President George Bush (the first one) personally blasted the show (which resulted in an episode where him and Homer duke it out)
I Love Lucy
When Lucille Ball was pregnant with her husband and co-star Desi Arnez's child, it wasn't the pregnancy itself that was the problem. The network considered the word "pregnant" and any permutation of it to be obscene, meaning the show couldn't use it.
Controversy: A single mom raising a child
Vice President Dan Quayle specifically took a shot at the show for portraying a female character who was not married to her child's father, saying that it devalued men's place in the American family. Yeesh.
I Dream of Jeannie
Controversy: Too much bellybutton
The character of Jeannie got the network a lot of complaints for showing too much skin; specifically in that she showed her midriff. They also couldn't show her and Tony going into a room together and closing the door.