Geoffrey Turton Shaw (14 November 1879 – 14 April 1943) was an English composer and musician known for his contributions to Anglican church music. Born in Clapham, South London, he was the son of James Fallas Shaw, a composer and organist, and the younger brother of composer Martin Shaw. Geoffrey Shaw was a chorister at St Paul's Cathedral and attended Derby School and Gonville and Caius College, Cambridge, where he was an organ scholar.

Shaw served as a music master and Director of Music at Gresham's School, Holt, from 1902 to 1910 before becoming a school inspector in London. He also held several organist positions and was Inspector of Music to the Board of Education from 1928 until his retirement in 1942. Shaw was influential in raising musical education standards and was involved in various music organizations and festivals.

As a composer, Shaw's work included choral pieces, anthems, hymn tunes, and arrangements. He collaborated with his brother Martin and others on hymnals and music collections, significantly impacting 20th-century church music. Shaw's contributions were recognized with the honorary Lambeth degree of Doctor of Music in 1932. After his death in 1943, a memorial fund was established in his name to support young instrumentalists.