On the concert stage, Vyvyan performed throughout Europe and the United States under such conductors as Carlo Maria Giulini, Leonard Bernstein, Rafael Kubelik, Pierre Monteux, Ernest Ansermet, Victor de Sabata, Josef Krips and Britten, excelling in performances of British music. She also appeared often on the radio and on television, including some of the earliest complete operas broadcast on British TV. She excelled in Handel and played a major role in the revival of his operas/oratorios – with pioneering performances of "Athalia, Samson, Amadigi, Rinaldo, Saul", and the first known staging in modern times of "Radamisto" (Sadlers Wells, 1960). She was also known for her interpretations of the soprano solos in Beethoven's Symphony No. 9, Britten's "War Requiem", and Bach's "St John Passion" and "St Matthew Passion".