I love the way the great Nina Simone blends a superb jazz style of piano with some classical "riffs" in the middle of this 1960 performance.
From Wikipedia: "Love Me or Leave Me" was first recorded by Ruth Etting in 1928 and the song made it to Number Two on the charts the following year. Dozens of popular singing stars have recorded this one, the last major cover being Rod Stewart in 2010.
The music was written by Walter Donaldson and the lyrics by Gus Kahn. The song was introduced in the Broadway play, Whoopee!, which opened in December 1928. Ruth Etting's performance of the song was so popular that she was also given the song to sing in the play "Simple Simon", which opened in February 1930."