Continuity: During the fight scene between Tom-Tom and Barnaby, at one point Tom-Tom is on top of Barnaby, then does a somersault over him, and we see him start to stand up in front of Barnaby. In the next shot, he is on top of Barnaby again (same position as before he flipped), and in the next he is standing up in front of Barnaby.
Continuity: At the very end of the song "Never Mind Bo-Peep" (just after the crowd disperses, and only Tom-Tom and Bo-Peep remain), Tom-Tom is wearing a ring on his right hand (perhaps a wedding band?) It disappears when he sits down next to Bo-Peep, and isn't seen again for the rest of the movie.
Revealing mistakes: The wooden soldier, brought out as a demonstration model by Stan and Ollie, blinks in one shot.
Continuity: When Stannie rings Barnaby's doorbell at night, a light appears in Barnaby's upstairs window. The light source comes from the right, but Barnaby appears from the left, carrying a candle.
Continuity: As the wooden soldiers approach the Boogey men, Barnaby is holding Bo Peep in his arms, but when they fire the cannon shot that knocks him down, she is gone.