Corrected entry: You learn that there are three different types of Oods you can purchase: The Normal Slave, The Charming Slave, and The Comedy Slave. The Comedy Ood said "D'oh" when he was talked to, which is a reference to Homer Simpson's catchphrase in the famous comedy show The Simpsons. However, this is in 4126 A.D., so how could they possibly remember a character in a TV show that was over 2000 years ago? Even assuming that this show went on for another 100 years, which is unlikely, it would still not make any sense. And it's not even that a few people remember such an ancient show, it's everyone in the room (they all laugh when they hear this) - which consists of approximately 20 people. We can't even remember characters from 20 years ago (well, most of us), so the fact that they could remember Homer Simpson is a mistake.
Corrected entry: Donna Noble looks through her father's telescope to view Venus. This would be impossible at an estimated time of midnight.
Correction: Estimates of time do not count as mistakes. You need to give a confirmed time or this is not a mistake.
Corrected entry: Martha is supposedly in the New York, but the "exit" sign behind her is a European-style green one, while the ones in the US are red. (00:36:30)
Correction: The US uses both green and red exit lights.
Corrected entry: It may not seem "significant", but when Mrs. Silvestri is mimicking the Doctor as he recites pi to multiple decimal places, she finishes with "wow" yet he never said it. At this stage, the presence that has possessed her can only repeat what's already been said.
Correction: No, he did say wow.
Corrected entry: In the episode, because the Doctor was not around as he was killed in the alternate reality, all the present day invasions that he stopped in the normal reality happened. However, since his death was before many invasions in later seasons in the normal reality that were chronologically before his death (for example, The Carrionite invasion in 1599) the Earth should be already destroyed. Therefore, he couldn't die on Earth, so it would be a paradox that would erase his timeline.
Correction: Except none of this happened. All of this is an illusion brought on by the bug on her back. She just woke up.
Corrected entry: After the TARDIS sets down on the planet, the Doctor rushes to and opens the door to see where they are, and doesn't have his brown coat on. A second later, he emerges with his overcoat on.
Correction: We don't actually see him open the door, we see him running for the door. He could very easily have grabbed his coat from where he always leaves it and put it on before opening the door.
Corrected entry: The intro scene shows the thief hanging from the skylight trying to steal a gem. She escapes where she came in and yet the next scene shows her walking inside the museum. This scene doesn't make sense because she already had an effortless exit on the rooftop.
Correction: She wasn't on the roof, she was on an upper floor of the museum. She was stealing a large golden cup, not a gem. She did not enter through a skylight, either, but a hatch at the top of the dome.
The Unicorn and the Wasp - S4-E7
Corrected entry: In the scene where Donna is examining the room Lady Clemency Eddison had kept locked for the past 40 years, there is a teddy bear on the bed. However, the story takes place in 1926, meaning the room had been locked since 1886. Teddy bears were not invented until 1902.
Correction: Stuffed animals are known to have existed in Ancient Egypt. While the 'modern' commercially produced 'teddy' bear did not appear until designed by Richard Steiff in 1902, stuffed representations of animals go back into history. There is no reason to think that one of the animals represented could not have been a bear and that Lady Eddison could not have acquired such a representation.
Correction: This is entirely your opinion. The Iliad and the Odyssey are epic poems, written, rather appropriately, by Homer, that are dated to nearly 3000 years ago and are still known today - the Iliad was recently adapted into the film Troy. There are Latin phrases used 2000 years ago by the Romans that survive in the language today. Numerous phrases from Shakespeare, written a mere four hundred years ago, are regularly used and recognised by the general public and there's no reason to think that we'd suddenly stop using them now; likewise many of his characters remain in the public consciousness. And with modern technology it's now far easier to preserve modern-day entertainments like The Simpsons for future generations to watch. So there's plenty of precedent for a catchphrase surviving far into the future.
Tailkinker ★