Blue Wants to Play a Game - S1-E12
Other mistake: The jigsaw puzzle Steve and Blue help Shovel and Pail with has a picture of everyone playing musical chairs from the Mailbox's Birthday episode, but Steve suddenly isn't in the puzzle. He played musical chairs, so he should've been in the puzzle.
Steve Gets the Sniffles - S2-E1
Other mistake: During the mailtime segment, as Mailbox moves closer to Steve, a big chunk of him is cut off. (00:12:50)
A Snowy Day - S1-E10
Other mistake: When Mailbox comes in, he shakes some snow onto the chair. When Steve brushes it off, the snow stays visible on screen, then disappears mid-shot. (00:17:43)
What Is Blue Afraid of? - S1-E18
Other mistake: Steve finds the second clue, which is the shadow of an owl. The owl is on a tree branch, but there is no tree shadow that the branch shadow is attached to. A floating tree branch? (00:06:41)
What Is Blue Afraid of? - S1-E18
Other mistake: Shovel, Pail, and Steve see a shadow, then figure out it's the shadow of a tree. Then, when the red bird comes and lands on the tree branch, the bird's shadow is reversed, with the tail facing the opposite direction. (00:05:58)