Continuity mistake: The exterior shots of Commander Kronus' shuttle show that all its side windows are transparent, like all Galactica shuttles. But the interior views show that its second starboard-side window is actually an opaque gray panel, not transparent as seen from outside. This is because the exterior shot is of a Galactica shuttle (no model was built to represent Kronus' shuttle). Also note the impossibly high interior ceiling at the very front, compared to the exterior shape. (00:29:40)
Continuity mistake: When the Celestra's joystick is hit by laser fire, it tips to the right and the ship lurches off course. An exterior shot shows the landing bay is pitch dark. When the ship is forced back on course, the next exterior shot shows the bay is very well lit. (00:44:10)
Deliberate mistake: When the Cylon ship rams the landing bay and explodes, the many quick-cut fiery destruction shots are lifted from a classic World War II film (possibly "The Guns of Navarone"). Note the stone walls (and the tanker truck just left of center in the second such shot). (00:08:05)
Continuity mistake: When Apollo speaks with Adama, close-ups show the left side of Apollo's face is mostly shadowed while the right is well lit. In the wider shots, the left side is very well lit. (00:44:30)
The Living Legend (2) - S1-E13
Plot hole: The "drop team" parachutes into Gamoray under cover of night, wearing all black to conceal their approach, yet their parachutes have an enormous rainbow stripe pattern. Not exactly stealthy. (00:15:15)
Continuity mistake: As the shuttle approaches the Celestra, Apollo is told he is crazy to try and land in the dark. The view forward shows the landing bay of Celestra is pitch black in darkness. Seconds later, another shot shows the landing bay is now bathed in blue light. Once landed and aboard, they exit the shuttle into the very-well-lit landing bay. But nobody has ever turned any lights on. (00:40:30)
Revealing mistake: When Apollo changes course, he pulls back on the joystick and the interior shot shows the shuttle seems to raise its nose. But the stars outside the window also tilt, meaning the shuttle hasn't tilted - the camera has. (00:34:25)
Continuity mistake: When Boomer tells Starbuck to check his scanner, it shows three Cylon ships approaching. In the next shot, four Cylon ships attack, not three. (00:03:30)
Saga of a Star World (1) - S1-E1
Other mistake: Assuming the Colonial fighters are pretty much identical, Apollo's control stick is marked with usual controls, whereas Zac's stick is marked completely differently, but performs exactly the same.
Saga of a Star World (1) - S1-E1
Continuity mistake: As Apollo spots the Cylon warships, the lights around the face area go from lit to unlit between cuts.