The Impossible Planet (1) - S2-E11
Corrected entry: The weapons carried by the security officers are contemporary P90 submachine guns first introduced in 1994, and more commonly seen on the Stargate SG-1 and Stargate Atlantis series. Yet "The Impossible Planet" and "The Satan Pit" are set in "43K" (presumably the year 43,000). It seems unlikely that such (by then) ancient 20th-century weapons would still be in use so far into the future.
Rise of the Cybermen (1) - S2-E8
Corrected entry: Even though it is supposed to be an alternate reality, Cuba Gooding Junior is a celebrity in both, as Jackie mentions she was born on the same day as him. However Rose mentioned the date as February 1 (which is Jackie's birthday) whereas Cuba Gooding Jr was born on January 2 1968.
Correction: Again, it's an alternate reality. He might have been born on a different day.
Rise of the Cybermen (1) - S2-E8
Corrected entry: When Rose's phone first connects to the Cybus network on the parallel Earth, the first thing that shows on the phone is a news broadcast, yet the bar at the top of the phone shows the filename "welcome.jpg". Jpeg is a static image format.
Correction: That's true in this universe, but they're on an alternate Earth and things are subtly different - Rose's father is alive, people refer to things differently, etc.
Corrected entry: The Doctor cures The Flesh by disinfecting them with a cocktail of the various cures created by the Cat Nuns. However, surely these cures would have no effect on The Flesh, as they were being used to test those very things? The diseases that The Flesh had would be the ones the nuns were yet to find the cure for, so even if the cocktail did remove some of the diseases it couldn't remove all of them.
Correction: The Flesh would respond to certain cures, depending on the particular infection. The Nuns were testing in very small, controlled batches. However, the strength of the cures in combination would have a positive effect.
Corrected entry: The Daleks "plunge" Raj to get information about the Cybermen. Raj was locked away in the sphere chamber when the Cybermen revealed themselves as the ghosts, so he shouldn't have known, therefore the Daleks shouldn't know.
Correction: The Daleks don't know that there are Cybermen until Dalek Thay goes outside to investigate. Dalek Sec specifically says that there is another species invading Earth, infected with the superstition of ghosts. The specific wording of the statement implies that the Daleks got information on the "ghosts" from Raj, and deduced that they were another group of invaders as a result, but at that point still don't know who they are.
Correction: Raj's earpiece has communication technology. Someone in the building may have called him and told him about the situation, but it happened off camera.
Corrected entry: Cassandra says that being inside a male body is an entirely new experience. But in "The End of the World", she said she was born a boy (a "gender reassignment" being presumably one his/her many cosmetic surgical procedures).
Correction: She doesn't say at what age the gender reassignment was done. Given that this is the future, her parents may have done it immediately after her birth or at such a young age that she doesn't remember anything about being a boy.
She doesn't say that being in a male body is a new experience. She says, "Ooh, I'm a man! So many parts... And hardly used!" Yes, she was born male, but given that a comment she makes in "The End of the World" implies she is at least 2,000 years old, it's been a long time since she was last in a male body. And as regards the "hardly used" comment, Cassandra can probably tell, given she has some access to the memories of the person she's possessing, that the Doctor hasn't had that body for very long.
Correction: Perhaps the design has proved popular throughout the years or the manufactures have made improvements to the overall weapon without changing its basic shape (if you notice, the barrel of the P90 is longer than normally seen on this weapon).