Continuity mistake: In "Enter: Naruto Uzumaki!" While Iruka is thinking about what the Hokage said about Naruto, he's in bed without his green vest. When Mizuki pounds on the door, Iruka sits up and he's wearing the vest. But, when he opens his front door, he's not wearing it again.
Continuity mistake: In "Enter: Naruto Uzumaki!" During the confrontation scene with Naruto, Iruka and Mizuki, watch the shoulder of Iruka's vest. First, it's pinned to the wall behind him after Mizuki first attacks. When Iruka first yells at Mizuki not to tell Naruto the truth about his past, his vest is free from being pinned, yet when he yells at Mizuki the third time to stop, his vest is again pinned to the wall and Iruka rips the shoulder of his vest out from the kunai that pinned it there.
Plot hole: In "Enter: Naruto Uzumaki!" Mizuki asked Naruto to get the scroll of sealing that the First Hokage wrote. If it was such an important scroll to the village, shouldn't it have been more protected? Also, if Naruto was able to take it with ease, couldn't Mizuki have easily gotten it himself?
Continuity mistake: In "My Name is Konohamaru" At the beginning when the Stone faces, of the past and present Hokage, are shown from a distance. The two on the right is looking straight ahead and the one on the far left is looking to the left. But when a close up of the heads are shown, the two on the right are looking to the right and the one on the left is looking straight ahead.