A Knight In Shining Armor - S1-E1
Continuity mistake: When Kitt's on fire, before getting back to the HQ, we see a shot of the main HQ screen, and towards the bottom left is a screen with a picture of Kitt and green writing reading "Fire extinguished".
A Knight In Shining Armor - S1-E1
Continuity mistake: When the bad guys decide to take a helicopter to go and find KITT, it manages to change to three completely different helicopters in every external shot that's shown.
I Wanna Rock & Roll All Knight - S1-E7
Continuity mistake: After being shot, Mike and Sarah video conference with the SSC via KITT's surface screen. During the long shots, KITT's scanner is noticeably off, however in other shot's it is on, although computer generated. (00:20:05)
Day Turns Into Knight - S1-E11
Continuity mistake: When Sarah's holding the bomb remote at the end, her grip on it is very different in different shots.
Knight to King's Pawn - S1-E12
Continuity mistake: When Michael turns K.I.T.T. around to confront K.A.R.R. he steers to the left, which would make K.I.T.T. slide counter-clockwise, but in the next shot K.I.T.T. slides clockwise.
Revealing mistake: In the morgue when Mike is just about to cover the first dead body, if you look closely you will see the body's eye move. (00:04:10)