A Hazy Shade of Winter was written by Paul Simon,and recorded by Simon & Garfunkel in 1966.The song charted at #13 on the Top 40.

The Bangles cover did much better, being one of the few cases where a cover of a Simon & Garfunkel song did better than the original. Listen to the Simon & Garfunkel version, then the  Bangles version and you will hear the Bangles really improved on the song.
http://youtu.be/Mc7FWbyy7zU