1960s
- Grammy Awards of 1966
- Charles Ives (composer) for Ives: Symphony No. 4 conducted by Leopold Stokowski
- Grammy Awards of 1965
- Samuel Barber (composer) for Concerto performed by John Browning
- Grammy Awards of 1964
- Benjamin Britten (composer & conductor) & the London Symphony Orchestra for Britten: War Requiem
- Grammy Awards of 1963
- Igor Stravinsky (composer and conductor) for Stravinsky: The Flood
- Grammy Awards of 1962
- Laurindo Almeida (composer and artist) for Discantus
- Igor Stravinsky (composer and artist) for Stravinsky: Movements for Piano and Orchestra
- Grammy Awards of 1961
- Aaron Copland (composer & conductor) & the Boston Symphony Orchestra for Orchestral Suite from The Tender Land Suite
Read more about this topic: Grammy Award For Best Classical Contemporary Composition