During the hospital scene where Brackett and the others are working on the pet goat, the vet gives Brackett instructions on how to intubate the goat. But in previous scenes, the goat has already been intubated.
When the paramedics arrive at the grocery store it is dark outside. When the animal control officers arrive it is daylight. When the tiger gets onto the roof of the building it is dark once again. At the end of the rescue the sun is just rising.
At Rampart, while waiting for "Doc" Coolidge to reply, Dr. Brackett has Roy DeSoto & Co. wheel the communications station into the treatment room, yet there is no indication of any wires physically tethering the equipment to the wall. Somehow, no power is lost, no components are yanked off the countertop, and no wires become visible from losing slack.