Continuity mistake: The creators re-did the titles from the third season on, but only from before the shot of the ringed planet, and they didn't make sure they matched. Compare the movement of the stars inside the rings and the star field outside the rings - they move in different directions compared to each other.
Continuity mistake: The view of the starfield in the ship's windows is always inconsistent whenever they are orbiting a planet. Sometimes the stars appear to be moving by, and sometimes they are completely static.
Continuity mistake: In the early episodes, Geordi's rank is inconsistent. In "Encounter at Farpoint", he is a full lieutenant. In subsequent episodes, he is a lieutenant junior grade, before being promoted back to full lieutenant.
Continuity mistake: In the Engine Room, after Geordi calls Wesley and Data, Wes turns around and drops his hands. In the next shot, his hands are back up in front of him.
Suggested correction: Which episode is this for?