Revealing mistake: When Fat Bastard smashes through the door of Austin's apartment (in 1999), the door doesn't have any holes drilled in the side for the latch. You can see this when a piece with the door knob falls to the floor. In addition, you can see on the right side of the door, a mark in the slab where it was cut for Fat Bastard (Mike Myers) to slam through it.
Audio problem: When Fat Bastard bursts through Austin's apartment door, he pulls a revolver out of a box. When he does, the sound of the hammer cocking is heard, but he never cocks the hammer. It stays down for the entire scene.
Continuity mistake: When the movie starts Austin's hands on the Kamasutra book change positions between shots.
Continuity mistake: When Austin holds the Kamasutra sometimes it's next to his chest or not and the pocket of his silk robe is visible or not, depending on the shot.
Visible crew/equipment: When we first see Felicity come down the pole and walk toward Austin at his pad, the shadow of the camera is visible on her.
Continuity mistake: When the Frau introduces Unibrow, there are two Starbucks employees behind them working the right end of the counter. Cut to Unibrow and the Starbucks employees have disappeared.
Revealing mistake: When Austin pounds on the glass tube, it's easy to see they are three separate panels of glass, rather than being sealed. Therefore, the gas inside could have escaped.
Continuity mistake: When introduced, Mini Me is standing behind the white screen, he's posed with his right hand up, all the way to the reveal. When the screen slides open, his arm is down.
Factual error: The rocket launches from Dr. Evil's base literally inside the main room with all his cronies in it. As it rises, the blast from the engines would have incinerated everyone left behind.
Continuity mistake: Mini-me spits on Austin during their fight on the moon. We never see him clean it off, but it's missing from his face seconds later.
Answer: It's called "Soul Bossa Nova", by Quincy Jones.
Grumpy Scot