Continuity mistake: When Dana gives her shopping bags to Frank the doorman, the lettuce is either hidden or coming out depending on the shot, and a long brown bag appears and disappears depending on the angle focusing. (00:01:10)
Continuity mistake: Dana chases the pram and a biker falls seconds before. She passes next to him and meters ahead, she falls on the curb with no one around. In the close-up, the bicycle has appeared next to her. (00:02:00)
Continuity mistake: Egon is running his test on the married couple. He is about to write a note once his assistant has further tortured them with the announcement of another half an hour of wait. Sigourney Weaver has her arms crossed in one shot, but addresses Egon in the next shot having her hand on her chin. (00:06:15)
Continuity mistake: In front of the puppy testing box, Egon tells Dana not to worry and lowers his instrument. Dana gives him her number in the next shot, which begins with Egon holding the device higher again. (00:07:15)
Continuity mistake: During Peter's chat show, the second guest narrates a bizarre and kinda creepy story about the alien who dragged her to his room. She concludes the story with a disturbed expression on her face, but when the camera angle changes and Peter stands, she's actually smiling without any relation to the mood of the previous shot. It is in fact a direct continuation of the very first shot of the show. (00:10:20)
Continuity mistake: In the first scene at the museum, Dr. Janosz Poha approaches Dana that is restoring a Bonington. In this first wide shot Dana is brushing a spot with barely any brown paint on it, but in the close-up that follows she's retouching a different part where the color is thick, and the left side of the painting looks different again when he touches her hair. (00:12:20)
Continuity mistake: Ray answers the phone getting a momentary break from Peter's questioning. He picks up the receiver holding a pencil between index and middle finger, but when the camera angle changes the pencil is gone, and he later picks it from the book on the desk. (00:14:35)
Continuity mistake: When the doctors are testing the baby, the stethoscope to his right disappears on the back shots. (00:16:50)
Continuity mistake: During Oscar's physical, Ray is holding the recorder in his right hand, then as the camera switches to the reverse angle his tape recorder is in the left hand. (00:16:50)
Continuity mistake: Peter got carried away playing with the kid, and his pitchy garbling summons Dana from the baby bedroom. He notices her and says something about a clear liquid; the tie of the baby bib is fully behind his back, but at the next cut the tie is across the shoulder. (00:19:10)
Continuity mistake: When Janusz is knocked off the ladders while painting Vigo's eye and Vigo comes to life in the painting, the brush he was using is in different positions on the floor depending on the shot. (00:22:30 - 00:23:05)
Continuity mistake: Janusz is knocked off the ladder by Vigo's power surge. He then writhes on the floor as Vigo addresses him, alternatively touching the floor with his hand or not between shots. (00:22:30)
Continuity mistake: At the beginning of the scene with Ghostbusters dressed as construction workers lowering Ray in the dig, Egon's left arm (the one operating the device) changes position between shots. (00:23:35)
Continuity mistake: The boys upstairs hear Ray screaming to pull him back up from the hole in the ground. Venkman is leaning against it with his left hand, which turns into the right hand at the first cut. (00:25:30)
Continuity mistake: Before the trial, Tully leans over the table and tells the boys that he got his law degree at night school; Ray in the reverse shot is holding his pencil at table level, while it was well under it out of frame in the previous. (00:28:00)
Continuity mistake: During the trial, the coffee pot swaps the side it's facing between the front and back shots. (00:28:55)
Continuity mistake: The prosecutor interrupts Tully being fed every line saying that he's "leading the witness." She leans on the table, but before the cut ("Mr Tully...") you see her pull back and begin to raise her hands. Next shot and she is still palms flat on the table. (00:30:25)
Continuity mistake: When the prosecuting attorney walks up to the witness stand with Peter on it, she stands off to the side. When Peter puts his hand on hers in the next shot, she's standing in front of it. (00:31:25)
Continuity mistake: When the judge tells the men to stand up, the position of the books in front of them on the table changes position between shots. (00:31:40)
Continuity mistake: When the Judge states his sentence, from Stantz's POV of the front of the table the pink goo in the jar starts bubbling with a tag hanging on its right side. From a wider angle of the front of the table not only is the tag not visible, but the ghost trap next to it is different (check the number of dials and looks of the box), plus the trap is now slightly skewed as to how it was positioned before. (00:31:45)
Suggested correction: I believe the tag is visible at all times, at least the string of it (the tag itself in the wider angle from the defence's table is hidden by the jar itself). Not sure about the mentioned box, you mean the ghost trap? My impression is that the different angle accounts for a perceived different placement, but it's just my perception.