Audio problem: When Jinx shoots the doctor the second time, she stands up and you hear the gun shot BEFORE the scene changes. However, there are four pieces of information that suggests they should not have added this sound before the change in scenes: the slide on the gun doesn't pull back, no bullet ejects from the chamber, she doesn't seem to pull the trigger, and no bullet comes out of the gun.
Audio problem: When Bond meets M at the underground station, he walks through a door and turns slightly to his right. Cut to the platform as Bond walks towards M - we hear a door close behind him, but there is no door behind Bond when he is on the platform. This scene starts as he walks towards the arch on his left - no door there either.