Sheema Mukherjee is a British composer and sitar player.

She is best known for her work with musical collective Transglobal Underground and The Imagined Village.

In 2005, she composed the music for the West Yorkshire Playhouse productions Gluey and the Lion and Non-Contact Time.

She also composed the score for the Tamasha Theatre Company's 2009 musical Wuthering Heights.

[4] Her first solo debut album, Sheema was released on 28 August 2014 by the independent vinyl label ECC100 Records and was well received.