When Bugs smashes into the tree, he hits it face first. Yet when he slides to the ground, his back is facing the tree.
After the view pans to Cecil for the first time, there is a cut back to Bugs - at which time the book of fables Bugs was reading is gone.
When Bugs and the turtle are working on the jet engine inside the turtles shell, the size of the shell is much larger than it was previously.
When the bicycle falls out of the turtles shell there is no chain on the bike.