Well in Driving Miss Daisy, the racism was always in the background and there was always some tension between Hoke and Daisy. It actually made a believable story of two people from different castes slowly getting along. Miss Daisy actually shows how ignorant most moderate white people in the south were of racism and so the movie shows her actual learning process of seeing how racism affects Hoke.
In Do the Right Thing, the only really, intentionally racist act seemed to be when the police were too aggressive with Radio Rahim. The police, who are fucking minor characters, then set off a huge misunderstanding and a bunch of bitching and moaning. I don't see any real social commentary and all the characters feel like caricatures and not believable people.