As we all know, consistency is an important aspect to storytelling. How inconsistent does a story have to be before you lose interest altogether? Have you identified major inconsistencies that few people have noticed?
For instance, last week I was watching a show about a Catholic priest who is also one of the best exorcists in England. In the first episode, someone asks if demons can read minds. He states that demons are not capable of reading minds, but they can witness certain acts that people assume are away from peering eyes. In the very next episode, there is a demon possessed man running around and shanking people who kills the priest's protege'. A police officer who is assigned to this particular case has a few conversations with the priest. Of course, the priest does not believe the whole demon possession deal, so she has a ton of questions. She finally asks if he can beat the demon possessed serial killer, and he answers, "how can you defeat an enemy who can read your mind?" At that point, I really had no desire to continue watching the series.