Revealing mistake: As Starbuck's rescuers arrive, they are riding unicorns. The second from the right is bobbing its head energetically enough that the sheepskin cap it's wearing is bouncing loosely, along with its fake horn. (00:11:45)
Revealing mistake: In the opening scene, the canopy of Starbuck's viper is not fully lowered while in space flight, leaving a wide gap under its starboard side that would have allowed his air supply to be instantly sucked out into the vacuum of space. (00:02:50)
Plot hole: After crashing on the planet, Starbuck's pants are shown torn open on his right thigh which is bleeding significantly. The child warriors find him and bandage his wound. When Boomer and Apollo arrive to pick up Starbuck, they give him a clean uniform. In the next scene, he is in that uniform, but his injured leg is wrapped in bloody bandages over the new pant leg. It seems unlikely he'd put the fresh pants on, then bandages. (00:44:40)
Audio problem: As Starbuck says goodbye to Megan, the shot from behind Megan shows his cheek and chin are moving very differently than the words he is speaking would require. (00:45:25)
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)