Continuity mistake: Before Lightning falls off the end of Mack's trailer, you can see Snot Rod and one of the other cars running alongside the trailer. But when the camera moves to show Lightning coming off the trailer, you can see alongside the trailer in the background, and the cars are now missing. Camera switches back to the front of Mack, and the cars are back alongside again.
Suggested correction: Actually, they are still there. They're just out of view.
Continuity mistake: The King's eyes are brown at the beginning of the film, but after he crashes his eyes have turned blue. During the credits when he is in the museum with his wife and Junior, they have turned back to brown.
Continuity mistake: Whilst McQueen is in the court room a scratch to his nearside front wheel arch/wing appears and disappears during shots.
Continuity mistake: McQueen kicks a can into Doc's slightly-open garage door. The door opens outward. McQueen then slowly pushes both garage doors inward to open them, opposite of how the door was just shown. When Doc subsequently throws McQueen out of the garage he slams the door shut...which would not be possible if it swung in both directions.
Continuity mistake: When McQueen leaves Radiator Springs, he still has his new hot rod paint job from Ramone. When he exits the trailer at the track in California, he is back to his racing paint job.
Suggested correction: It did not occur "suddenly". He got repainted somewhere in between his leaving Radiator Springs and arriving at the race. No mistake.
What about immediately after the race? Also note the commentator during the race remarks on his 'white wall tires of all things', which are absent, until he finishes the race that is.
There was no indication that he stopped anywhere else to get repainted bright red for the last race and then painted back to metallic red after the race.
After the race, he comes back to Radiator Springs and Ramon's paint job is back too. So it's really an error.
Continuity mistake: After the first race, McQueen blew out both back tires. When interviewed after the race, his pit crew changes his rims with new tires, but the old rims have tires on them. They should be only rims, since earlier in the race we see him riding "on the rims" only, with sparks flying from the metal touching the track.
Suggested correction: McQueen's pit crew fixed his tires before the camera shot on him.
I think you missed the point of the mistake. 2 crew members are taking off both of McQueen's driver side tires (we can assume they replaced the passenger side off camera). But one should just be the rim. You're suggesting the pit crew replaced his tires off camera and then decided to replace his tires again when on camera.
Continuity mistake: After The King crashes, his tires are deflating. When The King's wife thanks Lightning McQueen for helping The King, we can see that The King's tires are inflated.
Continuity mistake: When the car crash starts, after the camera zooms out, the viewer can see that Eugene Carbureski made it through the wreck, but in the next few frames, it shows Eugene in the wreck.
Continuity mistake: In the last lap of the first race, the last two cars suddenly change from Kevin Racingtire and Slider Petrolski to Todd Marcus and Claude Scruggs even though the four cars all are nowhere close to each other.
Continuity mistake: When McQueen rides on the wall to pass Rusty Cornfuel and Floyd Mulvihill, he passes Winford Bradford Rutherford and Sage VanDerSpin and goes straight to Slider Petrolski. However, past him are Todd Marcus, Ernie Gearson, and Winford Bradford Rutherford again, making it look as if there were two RPM cars with the same exact body, but there aren't.
Continuity mistake: In the close-up of "Petrol" Pulaski giving Winford Bradford Rutherford some oil, the RPM crew chief is white. But in the scene showing all of the pit crews, he is yellow.