| 1968 | Symphony No. 9 in E Minor ("From the New World") | Dvořák; Alexander Gibson, London Philharmonic Orchestra | | 1 |
| 1970 | Delius: Piano Concerto in C minor / Debussy: Fantaisie for Piano & Orchestra | Delius, Debussy; Jean-Rodolphe Kars, London Symphony Orchestra, Alexander Gibson | | 1 |
| 1972 | Alexander Goehr: Violin Concerto / Iain Hamilton: Violin Concerto | Alexander Goehr, Iain Hamilton; Manoug Parikian, Royal Philharmonic Orchestra, Norman Del Mar, Scottish National Orchestra, Alexander Gibson | | 1 |
| 1975 | Piano Concertos nos. 2 & 4 | Beethoven; John Lill, Scottish National Orchestra, Sir Alexander Gibson | | 2 |
| 1977 | Scenes Historiques / Rakastava / Valse Lyrique | Sibelius; Scottish National Orchestra, Sir Alexander Gibson | | 4 |
| 1978 | Symphony no. 5 | Carl Nielsen; Scottish National Orchestra, Sir Alexander Gibson | | 1 |
| 1981 | Scottish Overtures | The Scottish National Orchestra, Sir Alexander Gibson | | 2 |
| 1982 | The Three Symphonies and Ode | Igor Stravinsky; Scottish National Orchestra, Sir Alexander Gibson | | 1 |
| 1983 | Symphonies 1 & 7 | Sibelius; Scottish National Orchestra, Sir Alexander Gibson | | 1 |
| 1984 | Pulcinella Suite & Danses Concertantes | Igor Stravinsky; Sir Alexander Gibson, English Chamber Orchestra | | 1 |
| 1984 | Sinfonia Concertante in E-flat major / Concertone in C major | Mozart; Norbert Brainin, Peter Schidlof, English Chamber Orchestra, Sir Alexander Gibson | | 1 |
| 1985 | Lemminkäinen Legends | Jean Sibelius; Scottish National Orchestra, Sir Alexander Gibson | | 1 |
| 1985 | Symphony No. 2 | Sergei Rachmaninoff; Sir Alexander Gibson, Royal Scottish National Orchestra | | 1 |
| 1985 | Pomp and Circumstance Marches / Cockaigne Overture / The Crown of India Suite | Elgar; Scottish National Orchestra, Sir Alexander Gibson | | 1 |
| 1985 | Symphonies 4 & 5 | Jean Sibelius; Scottish National Orchestra, Sir Alexander Gibson | | 1 |
| 1985 | Water Music | George Frideric Handel; Scottish Chamber Orchestra, Sir Alexander Gibson | | 2 |
| 1986 | Cello Concertos | Edward Elgar, William Walton; Ralph Kirshbaum, Scottish National Orchestra, Sir Alexander Gibson | | 1 |
| 1989 | 1812 Overture / Hamlet / Romeo & Juliet | Tchaikovsky; London Philharmonic Orchestra, Sir Alexander Gibson | | 2 |
| 1990 | Dukas: The Sorcerer's Apprentice / Saint-Saëns: Danse macabre / Rossini/Respighi: La Boutique fantasque | Dukas, Saint‐Saëns, Rossini/Respighi; Scottish National Orchestra, Sir Alexander Gibson | | 4 |
| 1990 | Enigma Variations / Pomp And Circumstance Marches 1-5 | Elgar; Scottish National Orchestra, Sir Alexander Gibson | | 2 |
| 1990 | Finlandia / Pohjola's Daughter / The Swan of Tuonela / The Oceanides / Tapiola | Sibelius; Scottish National Orchestra, Sir Alexander Gibson | | 1 |
| 1990 | Sinfonia Concertante in E-flat major / Symphony no. 39 in E-flat major | Wolfgang Amadeus Mozart; English Chamber Orchestra, Sir Alexander Gibson, Norbert Brainin, Peter Schidlof, The London Philharmonic, Vernon Handley | | 1 |
| 1990 | Symphonies no. 3 "Scottish" / Symphony no. 4 "Italian" | Mendelssohn; Scottish National Orchestra, Alexander Gibson, The London Philharmonic, James Lockhart | | 1 |
| 1991 | Symphony no. 2 | Jean Julius Christian Sibelius; Scottish National Orchestra, Sir Alexander Gibson | | 1 |
| 1991 | Symphonies 2 & 5 | Sibelius; Royal Scottish National Orchestra, Sir Alexander Gibson | | 1 |
| 1991 | Symphonies 1 & 4 | Sibelius; Royal Scottish National Orchestra, Sir Alexander Gibson | | 1 |
| 1991 | Symphonies 3, 6 & 7 | Sibelius; Royal Scottish National Orchestra, Sir Alexander Gibson | | 1 |
| 1992 | The Planets | Gustav Holst; Scottish National Orchestra, Sir Alexander Gibson | | 1 |
| 1992 | Symphony in Three Movements / Symphony in C | Igor Stravinsky; Royal Scottish Orchestra, Sir Alexander Gibson | | 1 |
| 1992 | Belshazzar's Feast / Coronation Te Deum / Cello Concerto | Walton; Ralph Kirshbaum, Sherrill Milnes, Scottish National Orchestra and Chorus, Sir Alexander Gibson | | 1 |
| 1992 | Lemminkäinen Legends / Luonnotar / The Bard | Sibelius; Royal Scottish National Orchestra, Sir Alexander Gibson | | 1 |
| 1992 | Legends / Finlandia | Sibelius; Sir Alexander Gibson, Royal Philharmonic Orchestra | | 1 |
| 1994 | Witches' Brew | The New Symphony Orchestra of London, Alexander Gibson | | 2 |
| 1995 | Violin Concertos Nos. 1 & 4 | Paganini; Henryk Szeryng, London Symphony Orchestra, Sir Alexander Gibson | | 1 |
| 1996 | 50th Anniversary Celebration | The Royal Philharmonic Orchestra, Sir Thomas Beecham, Sir Alexander Gibson, Vernon Handley, Sir Charles Mackerras, Yehudi Menuhin, André Previn | | 3 |
| 1998 | Royal Fireworks Water Music | Handel; Scottish Chamber Orchestra, Sir Alexander Gibson, English Chamber Orchestra, George Malcolm | | 1 |
| 2000 | Violin Concertos nos. 1 & 3 | Niccolò Paganini; London Symphony Orchestra, Sir Alexander Gibson, Henryk Szeryng | | 2 |
| 2000 | Overtures | Berlioz; The Royal Philharmonic Orchestra, Sir Alexander Gibson | | 3 |
| 2001 | Piano Concerto no. 2 | Rachmaninov; Royal Philharmonic Orchestra, Sir Alexander Gibson, Alexander Ardakov | | 2 |
| 2001 | Symphony no. 5 / Karelia Suite | Sibelius; London Symphony Orchestra, Alexander Gibson | | 1 |
| 2001 | The Carnival of the Animals | Saint‐Saëns, Bizet, Dukas, Ravel; Royal Scottish National Orchestra, Sir Alexander Gibson, Hallé Orchestra, James Loughran | | 1 |
| 2002 | Overtures | Elgar; Scottish National Orchestra, Sir Alexander Gibson | | 1 |
| 2005 | Elgar - Symphony No.2; 'The Crown of India' Suite | Edward Elgar; Alexander Gibson & Scottish National Orchestra | | 1 |
| 2006 | Beethoven: Piano Concerto No.2 / Schumann: Piano Concerto in A minor / Bach: Toccata in G major, BWV916 | Beethoven, Schumann, Bach; Dame Myra Hess, Scottish National Orchestra, BBC Symphony Orchestra, Sir Alexander Gibson, Sir Malcolm Sargent | | 1 |
| 2006 | Coronation Ode / The Spirit of England | Elgar; Teresa Cahill, Anne Collins, Anthony Rolfe Johnson, Gwynne Howell, Scottish National Orchestra Chorus, Scottish National Orchestra, Sir Alexander Gibson | | 1 |
| 2008 | Symphonies nos. 4-6 / Fantasia / Oboe Concerto / The Wasps | Vaughan Williams; Royal Philharmonic Orchestra, Bournemouth Symphony Orchestra, Paavo Berglund, Sir Alexander Gibson, Constantin Silvestri | 5 | 1 |
| 2016 | Gounod: Faust Ballet Music / Bizet: Carmen Suite | Gounod, Bizet; Royal Opera House Orchestra, Covent Garden, Alexander Gibson | | 3 |
| — | La Damnation de Faust / La Mort de Cléopâtre | Berlioz; Janet Baker, Nicolai Gedda, Gabriel Bacquier, Chœurs de l’Opéra de Paris, Orchestre de Paris, London Symphony Orchestra, Georges Prêtre, Alexander Gibson | | 1 |
| — | Symphonies 3 & 6 | Jean Sibelius; Scottish National Orchestra, Sir Alexander Gibson | | 1 |
| — | The Dream of Gerontius | Edward Elgar; Robert Tear, Alfreda Hodgson, Benjamin Luxon, The Scottish National Orchestra Chorus, Scottish National Orchestra, Sir Alexander Gibson | | 1 |
