Revealing mistake: When Austin enters the bathroom at the casino, keep your eyes on the door during the scene - it opens by itself before closing.
Continuity mistake: When Austin is unfrozen you see the two nurses remove the wires clipped to his ears, then suddenly they are back.
Revealing mistake: During the honeymoon sequence at the end of the film, if you look at the right top of the flowers in the vase during the "flowers covering nipples" bit, you can see a bit of red duct tape covering Liz Hurley's nipple from behind the flowers.
Continuity mistake: When Austin and Vanessa are on top of the bus, for one shot Austin's teeth are clean.
Revealing mistake: In the scene at Alotta Fagina's penthouse, you can clearly see the side of her swimming costume as she gets in the jacuzzi - she's meant to be naked (I think).
Continuity mistake: When Austin and Mrs. Kensington are at the Swinger's Club and the waitress gets punched in the face her hat falls off. In the next shot he/she is still wearing it.
Continuity mistake: After Austin and Vanessa's night on the town, she falls asleep on Austin, holding a champagne glass. When the laptop computer starts beeping, the camera angle changes as we see Austin push her off him, and the champagne glass has suddenly disappeared.
Other mistake: In the scene where Austin gets stuck in the golf cart between the walls the number of poles in the bottom left corner keeps changing and they get further and nearer apart.
Continuity mistake: In the scene near the beginning when Austin is walking around naked and Vanessa is holding a magnifying glass she is concentrating very hard on watching the monitor off the screen.
Visible crew/equipment: In the scene where Austin and Vanessa swing off the slow moving dipping mechanism using dental floss, if you look in the top right corner of the screen you can see some kind of a support harness that the dental floss is connected to.
Factual error: When Austin Powers is in the casino and plays blackjack with #2, the sequence of the blackjack hand is dealt wrong.
Continuity mistake: In the scene where Austin is about to get in the jacuzzi with Alotta Fagina his hair is messed up from taking off his shirt, but when it shows him getting in it's fixed.
Factual error: In the film Austin has a Boeing 747-300 as his personal jet. This model of the 747 was not released until 1980, and he was frozen in 1967.
Revealing mistake: In the scene where Austin and his allies burst through the big blue door, right before "Secret Agent Man" begins playing, the door explodes, and you can clearly see that it's made out of wood, even though it's painted to look like and is meant to be metal. This mistake is even mentioned in the director's commentary on the Austin Powers DVD.
Continuity mistake: In the scene where Vanessa gets drunk and the laptop rings, the first time it shows the laptop, there is an alarm clock behind it. First it reads about 10:30 or so. The 2nd time it is off.
Continuity mistake: In the one scene in Dr. Evil's evil headquarters, it shows the large screen opening in front of them. The screen shows the warhead that they're going to arm the drill with. The table in the room is reflective, it shows the panels of the screen opening, but it does not show the image that's on the screen reflected in the table.
Visible crew/equipment: This might be widescreen-only - in the bathroom scene, as Austin is talking to Tom Arnold, the boom mike dips into the frame right as Tom says, "Whoo!"
Continuity mistake: When the warhead is on the cart in Dr. Evil's lair, they use the same footage twice.
Continuity mistake: In the scene with the American General talking about the Big Boy and asking a person to call the president, pack my overnight bag, etc., you can see his face blur over and jump from spot to spot.