Not a band normally known for modulations, the Stones produced a tune with a key change in “Dear Doctor” from 1968’s Beggar’s Banquet. The tune is a country/blues waltz — a classic story song about an ill-fated romantic pairing.
According to AllMusic, “Jagger may be poking fun a little, but he could not nail the parlance of the characters so precisely if he had not studied it closely as a fan of the music…in a sense, they have been musicologists, interpreting musical forms that were in danger of dying out.”
At 1:38, there’s a big key change (up a major fourth). Many thanks to mod scout Rob Penttinen for this contribution!