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 goes to the newsagents after the dead rise, he gets a drink out of the fridge, which has blood-stained hand prints on. He slips on what we assume is blood as he walks away, yet on the way in and as he leaves the shop you can see behind him that there is no blood or any other liquid on the floor. (00:25:35)
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: When Shaun and Ed repeatedly hit the two zombies in the back garden, no blood appears on the cricket bat or shovel, however it does splatter onto their shirts. (00:33:20)
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)
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)
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: 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)
Continuity mistake: When throwing records at the zombies, watch when Ed throws one at the girl. As he throws it, her head is to the left but when the camera shows a close up when the record hits her, her head is to the RIGHT. (00:32:45)
Continuity mistake: At the beginning of the film, when the camera pans across the road towards Shaun's house, the silver Renault badge on the hood of Pete's car is missing, but when Shaun goes to work that morning (Pete sits in the car), it's there. The badge disappears again later in the film. (00:06:55 - 00:24:25)
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)
Continuity mistake: When Barbara dies, she is lying on her back on the seat. Later, when Liz and Shaun are talking about shooting her, she sits up as if she was lying on her front, with her head going backwards. If she was lying on her back then her head would have come forwards. (01:14:50)
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: After Ed kills his first zombie, there is a blood stain on the right of his "I Got Wood" emblem on the t-shirt. But when they are throwing objects at the two zombies in the garden, this blood stain has somehow vanished. (00:30:55)
Continuity mistake: In the scene where Shaun meets Yvonne for the first time in the film, the nametag on his shirt is visible and then gets covered by his jacket as the shot changes between the characters. (00:12:40)
Continuity mistake: In the scene when Shaun, Liz and Ed are trapped behind the bar, the zombies are leaning over the bar. But in the next shot, when Shaun pours spirits over the bar and lights it, the zombies have moved back from the bar. (01:21:10)
Continuity mistake: When Shaun and Ed bring out the basket of mugs, pots and toasters etc., to throw at the two zombies, in one closeup we see Ed pick up a mug and a saltshaker, but in the next shot we see him throwing a wooden mugtree. (00:32:00)
Continuity mistake: As Shaun is giving the opening pep talk to his co-workers at the appliance store, his tie flips backward and forward several times. (00:09:00)
Continuity mistake: In the pub scene towards the end when the zombies are taking over, Ed lights up a cocktail, but then in the next shot when zombies break through the door and attack him, the rag is unlit. (01:20:05)
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