Apart from the general creativity of left-handers, the left-handed brain is at the centre of both the sense of rhythm and the perception of pitch, which helps to explain why so many successful composers and musicians are left-handed.
A lot of them are obvious, playing guitar left-handed or holding the microphone predominantly in their left hand, but some had to change hands at an early age because of the lack of left-handed instruments.
Great list but Kurt Cobain was not left-handed. He purposely learned to play guitar like a lefty out of admiration for Jimmy Hendrix. That should be corrected.
You have missed out two musicians. Sir Charlie Chaplin was a comedian, but he famously played the violin left-handed in the film Limelight.
Nicola Benedetti, the classical violinist, is also left-handed. However, she plays the violin right-handed. This was mentioned in the Sunday Express newspaper a few weeks ago.