Continuity mistake: After Ed and Shaun make the plan to save everyone, we see the close-up shot of the TV where the announcer is saying that nobody should try and save their friends and family. If you look at Shaun, you see the handle end of the cricket bat in his right hand, and he is facing the TV screen. In the shots immediately before and after that, Shaun is not only turned away from the TV, but the handle is in his left hand. (00:37:00)
Continuity mistake: After Ed and Shaun pull up to Phil and Barbara's house, the garbage bins move around by the time the zombie falls backwards onto them. (00:40:30)
Continuity mistake: When Ed and Shaun use Pete's car, the rearview mirror changes its characteristics between shots. Things such as being large with perfect 90° angles to being smaller and having curvier edges or being attached to the black unit on the car ceiling to being attached to the windshield. (00:40:50 - 00:41:40)
Visible crew/equipment: In the Jaguar, after Ed explains that he already adjusted the seat and Shaun shouts, "Careful!," when Ed pulls out of the driveway a seated crewmember is reflected on the side of the car. This does not refer to the zombie extras. (00:45:15)
Continuity mistake: The field in front of Liz's flat is large and unfenced. Yet, when Shaun climbs up to her window, there is a fence not more than ten feet away. He couldn't have run round the side as the sound of the zombies are coming from the same direction. (00:46:25)
Visible crew/equipment: At Barbara and Phil's house, just as the hooded zombie bites a chunk out of Phil's neck (before Shaun leaps over the car hood) the black mat with two long white marks is visible on the pavement, behind the second zombie (beside the car). It's gone in following shots. (00:46:30)
Continuity mistake: When Ed drives Phil's Jaguar, its rearview mirror disappears and reappears repeatedly. (00:47:15 - 00:53:35)
Continuity mistake: When Shaun climbs up to Liz's apartment, there is a large handbag that hangs on the back of chair beside the window, but it is gone in the next close-up. (00:48:50)
Visible crew/equipment: When Shaun scales up the side of the building to Liz's apartment the second time, just as he places the cricket mallet on the floor and begins to climb through the window, the steel tubing for the scaffold platform is visible just to his right. (00:49:00)
Other mistake: Ed strikes several zombies while driving the Jaguar. However, the car doesn't even get a single scratch. (00:49:30)
Continuity mistake: In the yard, when Shaun stabs the blue robe zombie, the metal pole still sticks out of his chest a good 4-5 feet, but when Dianne gives her zombie acting lessons the pole barely sticks out of the zombie's chest. (00:56:30)
Revealing mistake: When Shaun tackles the blue robe zombie they both slam through the wood fence. The thick black protective vest that Shaun wears is very noticeable under his shirt and is actually visible below his shirt collar. (00:58:10)
Continuity mistake: If you look closely as Shaun and the gang impersonate zombies, all the zombies around them are constantly moving between shots. (00:58:40 - 01:00:00)
Revealing mistake: You can blatantly tell the pub owner zombie has padding on under his shirt for the pool cue attacks. (01:08:35)
Continuity mistake: As David is trying all the switches on the fuse box, he flicks a few off and you can see about a half of dozen of them flicked up. In the following shot only one switch is flicked up. (01:09:25)
Continuity mistake: At the end of the 'Queen Fight' - Shaun pushes John into the jukebox using the pool cue, as he does this he blatantly falls backwards to the floor, however the very next shot he is moving backwards whilst standing upright. (01:10:25)
Continuity mistake: At John's pub, when Liz has a look at Barbara's bloody wound, it is about 2" above her left wrist, but when Shaun lifts his mum's sleeve, it's about 6" above her left wrist. (01:12:30)
Visible crew/equipment: Throughout the film, the reflector screen and/or set lights are reflected in David's eyeglasses. (01:12:30)
Continuity mistake: At the Winchester, Liz knocks zombie John's eyeglasses off, but then it is back on his face only to be knocked off again. (01:12:45)
Continuity mistake: When David is pointing the rifle at Barbara and Shaun, you see the barrel of the rifle and David's hand holding it. When the camera moves so you can see David's face, his hands are higher up on the barrel. It's the same when the camera switches between these two shots again while Shaun and David are arguing. (01:14:25)
Answer: "Burn Down the Sun" by Daniel Mudford & Pete Woodhead, according to this site: http://musicfromfilm.com/movies/shaunofthedead.php. According to http://www.discogs.com/Various-Shaun-Of-The-Dead-Music-From-The-Motion-Picture/release/402748, it's not on the soundtrack (as it's just background music).
David R Turner