Mitchell was one of the artists representing Britain in both the festival UKinNY with a recital at Lincoln Center and for the centenary of Entente Cordiale with France. She has given recitals at Sydney Opera House (17.3.89), Seoul Center for the Arts (13.4.89) and Hong Kong (18.4.89) as part of a three month tour with the pianist Klaus Zoll under the auspices of the British Council and the Goethe Institute. Mitchell has played at many international and most of the major British festivals and frequently performs in London. She was leader of the Bridge String Quartet 2000-2007. She was invited by Norbert Brainin to perform with him for his 80th birthday concert at Wigmore Hall in 2003. Mitchell performed a solo recital at the Wigmore Hall in March 2015 accompanied by Nigel Clayton. Other artists with whom she has collaborated include Paul Watkins, Joanna MacGregor, Craig Ogden and Roger Chase. Her recitals have frequently been broadcast by BBC, S4C, ABC and Bayerischer Rundfunk.