Continuity mistake: Episode 2-13, 'Epiphanies': When Baltar is led by the wrist along a corridor by Number Six, two crewmen pass Baltar on his left, headed the other way. The shot from behind Baltar places the crewmen immediately to Baltar's left when the shot is cut to a shot looking in the opposite direction as Baltar approaches the camera and the crewmen are now far behind Baltar, instantly. He is speaking continuously before and after this shot change, so there is no 'time passage' between the shots.
Continuity mistake: When Sharon throws the picture frame at the wall and Six's face is cut, the camera angle quickly changes a few times showing Six alternately from the front and rear. But with each angle change, the location and position of her right hand is wildly different. Palm facing toward her face, then away from it, then closed fist with fingers near her cheek, then immediately arm down at her side, then back to fist at her cheek.
Continuity mistake: Lee Adama is a captain, and is addressed as captain, yet he wears the rank insignia of a major on his collar - three chevrons rather than two. This is obvious without pausing when he meets his father in the woods midway through the episode as there is a revealing closeup. (Note: timecode is from the Blu-Ray release).