Continuity mistake: When the Munchkins come out onto the Yellow Brick Road, one of them comes out of a sewer hatch on the yellow bricks. It's located on the ground in front of the first small white cottage with the thatched roof, right behind Dorothy's house. Throughout this scene, the dark hatch is visible whenever we see that specific location, such as when the Wicked Witch of the West asks, "Who killed my sister? Who killed the Witch of the East? Was it you?" but as Dorothy begins to "follow the yellow brick road", there is an overhead shot followed by a front shot and the dark hatch has disappeared.
Visible crew/equipment: Near the very beginning, when Dorothy is with Prof. Marvel, after she runs out of his trailer and the wind starts blowing, he follows her and goes towards his horse tied up outside. As he's walking towards the horse, you can see the shadow of a boom mic along his trailer. (00:14:55)
Revealing mistake: After the witch says "Hey scarecrow, wanna play ball" she throws a fireball at him. But you can see the ground catch on fire before the fireball hits the ground. (00:46:20)
Continuity mistake: There are two actresses playing Dorothy (and two dogs playing Toto) as she opens the door to Oz. The first is a stand-in wearing a dull colored dress in order to make it look black and white. After she opens the door and moves out of the way, Judy Garland is who we actually see walking through. Look at the different pleats on the two dresses. (00:19:25)
Continuity mistake: You see a Flying Monkey with Toto before he gets picked up. (01:15:30)
Continuity mistake: When Professor Marvel guesses why Dorothy is running away, she's holding her suitcase with the lid facing Marvel. But in Toto's closeup, as he snatches the hotdog from Marvel's long grill fork, the suitcase is turned the opposite way with its lid facing Dorothy. Then it changes back, so the suitcase lid faces Marvel again. (00:12:10)
Revealing mistake: During some scenes, straw-stuffed Scarecrow's pant legs and his boots would sometimes have a gap that reveals the skin of Ray Bolger's leg. Two examples are, at Emerald City when Scarecrow places Lion's "cape" on him, and also when Dorothy and her friends are told the Wizard says to go away. (01:05:50 - 01:07:25)
Continuity mistake: When Dorothy slaps Lion on the nose for chasing Toto and shouts, "Shame on you!" in the wide shot, we see Dorothy's right arm with no mark on her skin. It then cuts to the medium shots, and there's an inexplicable long, thin blue mark (it's not a loose thread) on Dorothy's arm near her elbow, while she's holding Toto. This blue mark vanishes in the wide shot when she puts Toto down, and Lion begins to sing. (00:50:25)