| 1957 | The Complete Music Recorded Under the Direction of Robert Craft | Anton Webern; Robert Craft | | 5 |
| 1983 | Density 21,5 / Hyperprism / Intégrales / Ionisation / Octandre / Poème Électronique | Varèse; Members of the Columbia Symphony Orchestra, Robert Craft | | 2 |
| 1991 | Stravinsky the Composer, Volume I | Stravinsky; Robert Craft, Orchestra of St. Luke’s | | 1 |
| 1992 | Stravinsky the Composer, Volume III: Perséphone | Stravinsky; Robert Craft | | 1 |
| 1993 | Stravinsky the Composer, Volume V: Renard | Igor Stravinsky; Robert Craft, Orchestra of St. Luke’s | | 1 |
| 1995 | A Survivor From Warsaw | Arnold Schoenberg; Simon Callow, London Symphony Orchestra, Robert Craft | | 1 |
| 1997 | Stravinsky the Composer, Volume IX: The Firebird | Stravinsky; Robert Craft | | 1 |
| 2004 | Concerto for String Quartet / Lied der Waldtaube / The Book of the Hanging Gardens | Arnold Schoenberg; Fred Sherry String Quartet, Twentieth Century Classics Ensemble, Robert Craft, Christopher Oldfather, Jennifer Lane | | 1 |
| 2004 | Oedipus Rex / Les Noces | Stravinsky; Edward Fox, Simon Joly Chorale, Tristan Fry Percussion Ensemble, Philharmonia Orchestra, Robert Craft | | 1 |
| 2004 | Symphony, op. 21 / Six Pieces, op. 6 / Concerto for Nine Instruments, op. 24 | Anton Webern; Twentieth Century Classics Ensemble, Philharmonia Orchestra, Robert Craft | | 1 |
| 2005 | Gurre-Lieder | Schoenberg; Philharmonia Orchestra, Robert Craft | | 1 |
| 2005 | The Firebird / Petrushka | Stravinsky; Philharmonia Orchestra, Robert Craft | | 2 |
| 2005 | The Rite of Spring / The Nightingale | Stravinsky; Trífonova, Tear, Longworth, Whelan, London Symphony Orchestra, Philharmonia Orchestra, Robert Craft | | 1 |
| 2005 | Six A Cappella Mixed Choruses / String Quartet no. 2 / Suite in G for String Orchestra | Arnold Schoenberg; Simon Joly Singers, Jennifer Welch‐Babidge, Fred Sherry String Quartet, Twentieth Century Classics Ensemble, Robert Craft | | 1 |
| 2006 | The Music of Arnold Schönberg | Arnold Schönberg; Robert Craft | | 1 |
| 2006 | Five Pieces for Orchestra / Cello Concerto / Piano Quartet | Schoenberg; Fred Sherry, London Symphony Orchestra, Philharmonia Orchestra, Robert Craft | | 1 |
| 2006 | Symphony of Psalms / Three Russian Sacred Choruses / Mass / Cantata / Babel | Stravinsky; Orchestra of St. Luke’s, The Simon Joly Chorale, The Gregg Smith Singers, Philharmonia Orchestra, Robert Craft | | 1 |
| 2006 | Pulcinella / The Fairy's Kiss | Stravinsky; Diana Montague, Robin Leggate; Mark Beesley, Philharmonia Orchestra, London Symphony Orchestra, Robert Craft | 5 | 1 |
| 2006 | Serenade / Variations, op. 31 / Bach Orchestrations | Schoenberg; Stephen Varcoe, Twentieth Century Classics Ensemble, Philharmonia Orchestra, Robert Craft | | 1 |
| 2007 | Histoire du Soldat / Renard | Stravinsky; Aler, Spears, Evitts, Pauley, Ciesinski, Narucki, Orchestra of St. Luke’s, Robert Craft | | 1 |
| 2007 | Pierrot lunaire / Herzgewächse / Four Orchestral Songs / Chamber Symphony no. 1 | Schoenberg; Anja Silja, Eileen Hulse, Catherine Wyn-Rogers, Twentieth Century Classics Ensemble, Philharmonia Orchestra, Robert Craft | | 1 |
| 2007 | Vocal and Orchestral Works | Webern; Tony Arnold, Claire Booth, David Wilson‐Johnson, Simon Joly Chorale, Twentieth Century Classics Ensemble, Philharmonia Orchestra, Robert Craft | | 1 |
| 2007 | Six Songs for Soprano and Orchestra / The Golden Calf and the Altar / Kol Nidre / Friede auf Erden | Schoenberg; Philharmonia Orchestra, Robert Craft, Simon Joly Chorale, Jennifer Welch‐Babidge, David Wilson-Johnson | | 1 |
| 2007 | Later Ballets: Jeu de cartes / Danses concertantes / Scènes de ballet | Stravinsky; Philharmonia Orchestra, London Philharmonic Orchestra, Twentieth Century Classics Ensemble, Orchestra of St. Luke’s, Robert Craft | | 1 |
| 2008 | Chamber Symphony no. 2 / Die glückliche Hand / Wind Quintet | Schoenberg; Robert Craft, Mark Beesley, Simon Joly Chorale, New York Woodwind Quintet, Philharmonia Orchestra | | 1 |
| 2008 | Pelleas und Melisande / Erwartung | Schoenberg; Philharmonia Orchestra, Robert Craft, Anja Silja | | 1 |
| 2008 | Violin Concerto / A Survivor from Warsaw | Schoenberg; Philharmonia Orchestra, Robert Craft, Rolf Schulte, David Wilson-Johnson, Simon Joly Chorale | | 1 |
| 2009 | Symphony in C / Symphony in Three Movements / Octet for Winds / Dumbarton Oaks Concerto | Stravinsky; The Twentieth Century Classics Ensemble, Orchestra of St. Luke’s, Philharmonia Orchestra, Robert Craft | | 1 |
| 2011 | Duo Concertant / Sonata for Two Pianos / Requiem Canticles / Abraham and Isaac / Elegie / Bluebird | Stravinsky; Jennifer Frautschi, Jeremy Denk, Philharmonia Orchestra, Twentieth Century Classics Ensemble, Robert Craft | | 1 |
| 2015 | Vocal and Chamber Works | Webern; Tony Arnold, Claire Booth, Jacob Greenberg, Leila Josefowicz, Sooyun Kim, Charles Neidich, Fred Sherry, Orion Weiss, Fred Sherry String Quartet, Simon Joly Chorale, Philharmonia Orchestra, Robert Craft | | 1 |
| 2017 | Piano Concertos | Stravinsky; Philippe Entremont, Columbia Symphony Orchestra, Robert Craft | | 1 |
| 2023 | Berg & Webern & Schoenberg: Orchestral Works (2023 Remastered Version) | Robert Craft, Columbia Symphony Orchestra & Bethany Beardslee | | 1 |
