The bombing of The Temple in Atlanta took place in 1958, yet is shown as occurring in 1966 or later (because it is shown after the scene in which Boolie receives an award in 1966). Hoke is also driving mid-1960s Cadillac in the scene.
Just after Hoke comes to Miss Daisy's and is trying to stay busy, he is working outside in her zinnia bed. Miss Daisy bangs on the upstairs window to get him to stop. The window has Plexiglass in it, and doesn't make the sound that single-pane window glass of the period would have if someone banged on it with their knuckles.
When Hoke is calling Daisy's son to inform him that he has driven her to the store for the first time, the cord on the pay phone is of the modern vandal-resistant metallic design. Such cords did not appear until the 1960s.
When Miss Daisy discusses the first time she went to Mobile she commented that it was 1888 and she was 12 years old, earlier and later in the movie there is a picture shown that alludes it is Miss Daisy as a 5th grader and the year is 1896, assuming she would be at least a 5th grader by 12 years old the dates contradict each other.
Hoke arrives at Miss Daisy's on the day of the ice storm. As Miss Daisy walks across the room, there is a window behind her and it looks like a green leafy tree can been seen outside. It looks like it is a very cold snowy day so unless the tree is a pine or fir, it looks like spring or summer. Also there is no ice or snow on the tree.
When Hoke arrives to take Miss Daisy to Uncle Walter's birthday party, he pulls up in the Hudson with both windows down. They are leaving for a trip that is obviously overnight, and he does not put his windows up.
In the scene where Hoke arrives and Miss Daisy has lost it, she asks if he still has that Hudson. He replies that it has been in the junk yard 15 years. This is supposed to be early 70's and he bought that car when she bought a 55 or 56 Cadillac. The car couldn't have been junk within a year or two of him receiving it.
When Daisy visits the Piggly Wiggly near her house in the Druid Hills neighborhood of Atlanta, a small movie theater named the Rialto is next to it. In the real Atlanta of that time, there was a major downtown movie theater named the Rialto (now the Rialto Center for the Arts). A small neighborhood movie house would not have taken the same name as a downtown first-run theater.
When Hoke gets back into the car after being questioned by the police, there is foliage from two different trees grouped together, visible in the reflection of the window; probably so the audience can see Hoke through the glass. Then in the long shot of the car pulling away, there are no trees or plants close enough to the car to have caused those reflections.
Outside the car dealership, two cars are driving in the same direction through the intersection, one in front of the other, but the car ahead goes straight through the intersection in a left-hand turning lane, without causing an accident or any honking horns.