Visible crew/equipment: The first close-up of Dr. Neuman shows a big triangular object reflected on his glasses, like a camping tent of some sort. Maybe filming equipment covered to hide it from the reflection. In any case, nothing to do with the opposite angle of a couch.
Revealing mistake: The first night at the Coco Bongo, when The Mask ducks the goons' bullets, the bullets don't shatter a single corner of the stage behind.
Continuity mistake: When Dr. Neuman is talking about the mask, he turns it sideways and taps it with his fingers. In the following shot the mask is lying face-up.
Revealing mistake: When Dorian breaks down the doors of the Coco Bongo, the doors have no hinges to help for the stunt.
Visible crew/equipment: After a masked Carrey leaves Landfill Park, an aerial camera and person swings back and forth near the top of the screen in the background during the conga line dance.
Suggested correction: Those aren't camera people, they are supposed to be tactical police officers on a rope line who get involved with the singing/dancing by swinging and doing some aerial flips. We'll ignore that the ropes just go up into the sky, but that is the kind of comedic movie this is.
Continuity mistake: When The Mask first visits the Coco Bongo and dances wildly with Tina, they perform a series of impressive manouvers and The Mask then dips Tina and holds her in that position. At this moment, Tina is revealed to be a stunt double, not Cameron Diaz, just before the camera zooms into a close up of Jim Carrey.
Revealing mistake: Dorian and his men are watching what we're assuming is a live feed from Tina at the bank. At one point the "video" stops as you can see a guard freeze. From that point on the video is a still picture.
Suggested correction: If you look at the top of the screen showing the bank video, you can see a multicolored distortion. This shows that they paused the video feed.
We don't see them pause the video.
We also don't see their hands, so one of them easily could have paused it.
Visible crew/equipment: When Cuban Pete and the police crowd start doing the boom-chickie line move, the boom is moving around in the very top of the screen.
Visible crew/equipment: When Stanley throws the mask out of the window and it comes back in, there is a low shot of his bed. The shadow of the camera operator is on the bottom of the frame. It looks like the operator is moving.