| 1986 | Beautiful Dreamer: The Great American Songbook | Marilyn Horne, Carl Davis, English Chamber Orchestra | | 1 |
| 1986 | Jayne Torvill & Christopher Dean – Fire & Ice | Carl Davis & The London Philharmonic Orchestra | | 1 |
| 1988 | Carl Davis Conducts His The Glenlivet Fireworks Music | Carl Davis; Scottish Chamber Orchestra, Scottish Philharmonic Singers | | 1 |
| 1990 | The Town Fox | Carl Davis, Royal Liverpool Philharmonic Orchestra | | 1 |
| 1991 | This Is My Life | Shirley Bassey with The London Symphony Orchestra conducted by Carl Davis | | 2 |
| 1992 | Fanfare for the Common Man | London Philharmonic Orchestra, Carl Davis | | 1 |
| 1992 | Leeds Castle Classics | Royal Philharmonic Orchestra, Carl Davis | | 1 |
| 1993 | Rhapsody in Blue / Piano Concerto / An American in Paris | George Gershwin; Joanna MacGregor, Carl Davis, London Symphony Orchestra | | 1 |
| 1994 | Widows' Peak | Carl Davis | | 1 |
| 1996 | The Phantom Of The Opera | Carl Davis | | 1 |
| 2000 | The Silents - New Scores for Classic Silent Films | Carl Davis | | 1 |
| 2005 | Delibes (Sylvia Ballet Suite, Lakmé, Le roi s'amuse, Coppélia | Léo Delibes ; Royal Philharmonic Orchestra, Carl Davis | | 1 |
| 2007 | Great Movie Themes | Royal Liverpool Philharmonic Orchestra, Carl Davis | | 1 |
| 2008 | Reflections: Clarinet Concertos | Gerald Finzi, Graham Fitkin, Carl Davis; David Campbell | | 1 |
| 2009 | Great Movie Themes 2 | Royal Liverpool Philharmonic Orchestra, Carl Davis | | 1 |
| 2011 | The Beatles for Orchestra | Carl Davis, Royal Liverpool Philharmonic Orchestra | | 1 |
| 2013 | The Freshman | London Chamber Orchestra, Carl Davis | | 1 |
| 2014 | ABBA for Orchestra | Philharmonia Orchestra, Carl Davis | | 1 |
| 2014 | ABBA for Orchestra | Philharmonia Orchestra, Carl Davis | | 1 |
| 2020 | The Great Gatsby Ballet | Carl Davis, Czech National Symphony Orchestra | | 1 |
| — | A Creepy Crawly Song Book | Carl Davis, Hiawyn Oram, Satoshi Kitamura | | 1 |
| — | James Bond Themes | Royal Philharmonic Orchestra, Carl Davis | | 1 |
| — | Street Scene | Kurt Weill; English National Opera, Carl Davis | | 1 |
| 2005 | Bernstein | Bernstein; Royal Philharmonic Orchestra, Carl Davis | | 1 |
| 2005 | Léo Delibes | Léo Delibes; The Royal Philharmonic Orchestra, Carl Davis | | 1 |
