The TARDIS fades in with a model shot, which instantly cuts to a live-action location. The model TARDIS does not bear much resemblance to the full-sized prop (especially the roof shape) and completely gives away the effect.
The orientation of the badge on the UNIT officer's tie rotates 180 degrees between shots.
When the Doctor falls out of the TARDIS at the beginning, he almost pulls the doors off when he faints on the grass.
When the hand-held camera quickly pans around during the press conference, the main camera can be seen in the background. Standing next to the camera is a crew member holding a copy of the script.
When the Brigadier visits the Doctor's bedside, a boom microphone shadow can be seen moving across the wall.
Liz Shaw states that most meteorites don't reach the Earth's surface. However, by definition, all "meteorites" reach the surface of the Earth. She should have said "meteors" instead. The Brigadier makes the same mistake, but she is supposed to have an advanced degree in physics.