Radio became one of Murray's most triumphant acting areas, with appearances in over 300 plays. He played Macbeth in 1949 with Flora Robson, a month after playing the part on television (with Ruth Lodge), so different were the two medium's audiences deemed to be. He played the part again on radio in 1960. He was a fine Leontes in "The Winter's Tale" in 1951 with Elspeth March and Fay Compton, and again in 1966 with Rachel Gurney and Edith Evans. He played Shakespeare's "Timon of Athens" both in 1961 and in 1975. In 1964, he played the title role in the monumental BBC Radio production of Marlowe's "Tamburlaine" with Sheila Allen as Zenocrate with Timothy West, Andrew Sachs, Joss Ackland, Gabriel Woolf, Bruce Condell and other leading Shakespearian actors of the day. He did two versions of the BBC radio epic "The Rescue" by Edward Sackville-West, where he played Odysseus. Other classic '50s roles included Marlowe's "Doctor Faustus", "John Gabriel Borkman" and "Brand" as well as Calderon's "The Mayor of Zalamea". However, his longest running part was that of "No 1" in "The Navy Lark" in which he starred from 1960 to 1977.