Most know it was written by John Lennon and given to Billy J. Kramer, soaring straight to #1 in Britain and Top 10 in the U.S. 

The Story Behind “Bad to Me” by Billy J. Kramer with the Dakotas and How John Lennon Helped Get the Singer to No. 1

Here's the seldom heard demo recorded by John Lennon, which was later given to Kramer to rework for his hit.