This slip-up occurs at the beginning of the movie during the intro.
After Shrek scoops up some mud (revealing the movie title) into his bucket for a mud-bath, he hangs the bucket on a branch and pulls a rope to turn it upside-down.
The next shot, however, you see him showering under the bucket. Look around...what happened to the rope he just pulled? I don't see it anywhere!
I have this tape, and I noticed that too. It may be possible that it was a pulley system, and if you ever tried something like that, you would have known that the rope might have fallen. It's an animated movie, everything is preset; the animators and the storyboard managers would have noticed that and planned it. Also, a rope swinging next to Shrek in the picture would distract the viewer... BIG MOVIE NO-NO!