Continuity mistake: As the Queen is about to take the call from Tony Blair in the kitchen you can see in front of her a few plates of food and a chopping board with two cucumbers and a black handle knife. Near the end of the scene we see an overhead shot and there is only one cucumber and the knife has disappeared as well.
Visible crew/equipment: After the Queen's jeep is stuck in the river, she glances around for a moment. The rigging of the lights and camera can be seen in the reflection of her glasses. Further, when she exits the car, the reflection of a man holding his hand to his chin can be seen in the door window. This must be a crew member, as in the next wide shot the Queen is completely alone.
Continuity mistake: When Her Majesty drives into the river, there is no road to be be seen on the other side, and her car stops about mid-river. In the next shot, when walking from the car, she is very close to the bank on the other side, and in a following shot there is a road leading up from the stalled car.