When Linda goes to see the Last Chance, where she used to sing, she starts out riding in one cab and then is shown arriving in a different cab. Note the first has the word "Plymouth" above the grill and no number above the windshield.
The goof item below may give away important plot points.
When Tom is shot at the end of the film, he breaks through a railing and lands on his back on one level of the control tower, then continues to slide off the edge on his back. But then in the next shot from below he is now falling, flipped over 180 degrees, face down.