Visible crew/equipment: Towards the end of the movie when Dude, Walter and Donny are sat at the bowling seating area, the shot slowly moves forwards to centre Dude and Walter while Walter is talking. Just before Jesus interrupts them you can see the boom microphone reflected on the bowling equipment between Dude and Walter. (01:40:29)
Continuity mistake: In the bowling alley, when Walter says "Am I wrong, am I wrong", there is a shoe on his left, then camera switches to the Dude, and when it comes back to Walter the shoe disappears.
Character mistake: When Walter brings Cynthia's dog in the carrier to the bowling alley he refers to it as a Pomeranian while it is actually a terrier. Somewhat related, when the the Nihilists confront Dude in the bathtub, the dude refers to the ferret as a marmot. Walter later refers to the ferret as an amphibious rodent. Perhaps he was thinking of a mink.
Suggested correction: These were purposeful taxonomic (funny!) jokes.