She has worked with major orchestras in the United States and abroad, including the Vienna Philharmonic conducted by Herbert Blomstedt.
Conductors also included Christoph Eschenbach, Lorin Maazel, Kurt Masur, Kent Nagano, Seiji Ozawa, Robert Shaw, Christian Thielemann, Edo de Waart, David Zinman, Pinchas Zukerman.
Her repertoire also includes Drusilla in Monteverdi's L'incoronazione di Poppea, Mozart's Celia in Lucio Silla, Ilia in Idomeneo and Ismene in Mitridate, re di Ponto, Sister Constance in Poulenc's Dialogues des Carmélites and Anne Trulove in Stravinsky's The Rake's Progress.
She recorded operas including Schumann's Paradise and the Peri, Mozart's Idomeneo and Le nozze di Figaro (as Barbarina) for Deutsche Grammophon.
[6] In a 2021 profile in The New York Times of Murphy and her spouse, she was reported having stated that “the instrument in your throat” is not enough, and that the process of becoming a singer “takes work on your psyche, your innermost being.”[3]