Among Thomas Jefferson's MANY other accomplishments, he played the violin very well and composed music for it. He was a Renaissance Man in every sense of the word.
Harry Truman played the piano, as did his daughter. I think she played better than he did. Perhaps I shouldn't put his daughter's accomplishments in the past...I don't know if she's still alive or not.
I'm sure a lot of the earlier leaders of the country played instruments or sang. After all, when they were growing up, that was the major form of entertainment. Musical ability or at least musical training was a sign of culture.