I noticed these semi-weird things recently.

In Beaver's Jacket when Beaver is hoisting the jacket past the kitchen window it just sits in front of the window forever while Wally and Ward discuss if there's something there or not. It should have been done quickly not stopping.

In Beaver's Long Night after the police are called Beaver and Gilbert look outside to see the cops have arrived and Bill and Lumpy are standing in the road. Lumpy is still wearing the mask. If a cop tells you to get out of the car do you stand there wearing a mask??

In Wally Stays At Lumpy's the next morning Ward tells Beaver to come down for breakfast. When Beaver and Gilbert come down Gilbert says "Oh boy hot cakes." June is surprised to see Gilbert and Ward is still pouring coffee as Gilbert sits down not at all surprised, staring at his cup.

Didn't they have a couple of shots of the jacket going up? Those shots have always bugged me.

When Larry was running away weren't they hoisting up his suitcase, and it went past the den window? Probably they shot that twice, too. But it wasn't edited as badly as the jacket.

The cops would have had you remove the mask before you got out of the car.

Correct. Also I found one of the strangest scenes was in Beaver Won't Eat when they are at the restaurant and get their meals and Ward is smiling at everybody's face instead of at his own plate. It was very peculiar like he's supposed to be surprised when he looks down and sees the Brussels sprouts. When most people get their meal at a restaurant they look at their meal. I think we have already discussed the fact that you are given a choice of vegetable too.