In 1873 Murray published a Manual of Mythology, and in the following year contributed to the Contemporary Review two articles—one on the Homeric question—which led to a friendship with Mr Gladstone, the other on Greek painters. In 1874 he also published the popular work Who's Who in Mythology. In 1880-1883 he brought out his History of Greek Sculpture: From the Earliest Times Down to the Age of Pheidias, which at once became a standard work. In 1886 he was selected by the Society of Antiquaries of Scotland to deliver the next year's Rhind lectures on archaeology, out of which grew his Handbook of Greek Archaeology (1892).
In 1894-1896 Murray directed excavations in Cyprus including those at Enkomi; they were undertaken by means of a bequest of £2000 from Miss Emma Tournour Turner. The objects obtained are described and illustrated in Excavations in Cyprus, published by the trustees of the museum in 1900. Murray's other official publications include three folio volumes on Terra-cotta Sarcophagi, White Athenian Vases and Designs from Greek Vases. In 1898 he wrote for the Portfolio a monograph on Greek bronzes, founded on lectures delivered at the Royal Academy in that year, and he contributed many articles on archaeology to standard publications.