| 1928 | Serenata para orquestra de cordas, op. 1 | Confirmado | 10' |
| 1931 | Abertura de The School for Scandal, op. 5 | Confirmado | 8' |
| 1933 | Music for a Scene de Shelley, op. 7 | TBD | 8' |
| 1936 | Sinfonia n.º 1 in One Movement, op. 9 | Confirmado | 20' |
| 1938 | Adagio para Cordas, op. 11 | Confirmado | 8' |
| 1938 | First Essay para orquestra, op. 12 | Confirmado | 8' |
| 1939 | Concerto para violino, op. 14 | Confirmado | 24' |
| 1942 | Second Essay para orquestra, op. 17 | Confirmado | 10' |
| 1943 | Commando March (versão orquestral) | Confirmado | 4' |
| 1944 | Capricorn Concerto, op. 21 | Confirmado | 14' |
| 1944 | Sinfonia n.º 2, op. 19 | Confirmado | 26' |
| 1945 | Concerto para violoncelo, op. 22 | Confirmado | 28' |
| 1945 | Horizon | Confirmado | 5' |
| 1947 | Knoxville: Summer of 1915, op. 24 | Confirmado | 16' |
| 1947 | Medea — Cave of the Heart (ballet completo) | Confirmado | 29' |
| 1947 | Medea: Suíte para orquestra, op. 23 | TBD | 23' |
| 1952 | Souvenirs (Ballet Suite), op. 28 | TBD | 19' |
| 1954 | Prayers of Kierkegaard, op. 30 · coro | TBD | 18' |
| 1955 | Medea's Meditation and Dance of Vengeance, op. 23a | Confirmado | 13' |
| 1958 | Intermezzo de Vanessa | TBD | 4' |
| 1958 | Vanessa, op. 32 · ópera · coro | Confirmado | 130' |
| 1959 | A Hand of Bridge, op. 35 · ópera | TBD | 9' |
| 1960 | Die Natali — Chorale Preludes for Christmas, op. 37 | TBD | 16' |
| 1960 | Tocata Festiva, op. 36 | TBD | 14' |
| 1961 | Chorale Prelude on Silent Night (de Die Natali) | Confirmado | 2' |
| 1962 | Andromache's Farewell, op. 39 | TBD | 12' |
| 1962 | Concerto para piano, op. 38 | Confirmado | 26' |
| 1963 | Night Flight, op. 19a | TBD | 8' |
| 1966 | Antony and Cleopatra, op. 40 (ópera completa) · ópera · coro | Confirmado | 120' |
| 1966 | Antony and Cleopatra: dois cenas | TBD | 16' |
| 1971 | Fadograph of a Yestern Scene, op. 44 | TBD | 7' |
| 1971 | The Lovers, op. 43 · coro | TBD | 31' |
| 1978 | Canzonetta para oboé e orquestra de cordas, op. 48 | Confirmado | 8' |
| 1978 | Third Essay para orquestra, op. 47 | TBD | 14' |