| 1972 | Serenade for Flute | Beethoven, Bach, Telemann; The London Virtuosi, James Galway | | 1 |
| 1975 | Sonatas for Flute and Piano | Prokofieff, Franck; James Galway, Martha Argerich | | 1 |
| 1975 | James Galway Plays Showpieces for Flute | James Galway | | 1 |
| 1976 | Man With the Golden Flute | James Galway, National Philharmonic Orchestra, Charles Gerhardt | | 3 |
| 1977 | The Two Flute Concertos / Andante, K 315 | Mozart; James Galway, Lucerne Festival Strings, Rudolf Baumgartner | | 1 |
| 1977 | The Four Seasons | Antonio Vivaldi; Zagreb Soloists, James Galway | | 3 |
| 1978 | The Magic Flute of James Galway | James Galway | | 1 |
| 1978 | James Galway Plays Bach | Johann Sebastian Bach; James Galway, The Zagreb Soloists | | 1 |
| 1978 | James Galway Plays Songs for Annie | James Galway, Charles Gerhardt, National Philharmonic Orchestra | | 4 |
| 1979 | Song of the Seashore and Other Melodies of Japan | James Galway | | 3 |
| 1979 | James Galway plays Mozart | Mozart; London Symphony Orchestra, Eduardo Mata, James Galway | | 1 |
| 1979 | James Galway plays Rodrigo | Joaquín Rodrigo; James Galway | | 1 |
| 1979 | James Galway plays Telemann | Telemann; James Galway, I solisti di Zagreb | | 1 |
| 1980 | Sometimes When We Touch | Cleo Laine & James Galway | | 2 |
| 1980 | French Flute Concertos | James Galway | | 1 |
| 1981 | James Galway plays Stamitz | James Galway | | 1 |
| 1981 | James Galway plays Reinecke | Carl Reinecke; James Galway | | 1 |
| 1981 | The Pachelbel Canon and I Started a Joke, Jamaican Rumba, the Carnival Is Over, and Others | James Galway | | 2 |
| 1981 | Galway plays Mayer: Sri Krishna | James Galway | | 1 |
| 1982 | Suite no. 2 / Concerto / Trio Sonatas | J. S. Bach; James Galway, Kyung-Wha Chung, Phillip Moll, Zagreb Soloists | | 4 |
| 1982 | The Wayward Wind | James Galway | | 2 |
| 1982 | The Two Flute Concertos | Mozart; James Galway, New Irish Chamber Orchestra, André Prieur | | 2 |
| 1984 | In the Pink | James Galway & Henry Mancini | | 4 |
| 1984 | James Galway plays Schubert | Schubert; James Galway | | 1 |
| 1985 | 6 Concerti, op. 10 | Vivaldi; James Galway | | 4 |
| 1985 | Phoenix | James Galway | | 1 |
| 1985 | The Complete Works for Flute | Lennox Berkeley; James Galway | | 1 |
| 1985 | The Classical James Galway | James Galway | | 1 |
| 1986 | Clair de Lune: Music of Debussy | Debussy; James Galway, Marisa Robles | | 4 |
| 1986 | James Galway’s Christmas Carol | James Galway | | 3 |
| 1986 | Italian Serenade | James Galway, Kazuhito Yamashita | | 3 |
| 1987 | In Ireland | James Galway & The Chieftains | | 7 |
| 1987 | Pied Piper Fantasy | John Corigliano; James Galway, Eastman Philharmonia, David Effron | | 2 |
| 1988 | Concertos for Flute and Orchestra | Mercadante; I Solisti Veneti, Claudio Scimone, James Galway | | 3 |
| 1988 | Sonatas | Dvořák, Martinů, Feld; James Galway, Phillip Moll | | 3 |
| 1988 | James Galway Plays Mozart | Wolfgang Amadeus Mozart; James Galway | | 2 |
| 1988 | Concerto No. 1, K.313 / Andante, K.315 / Concerto for Flute & Harp, K.299 | Mozart; James Galway | | 3 |
| 1989 | 6 Concertos | Vivaldi; I Solisti Veneti, Claudio Scimone, James Galway | | 2 |
| 1989 | Serenade | James Galway | | 1 |
| 1990 | Sixty Years Sixty Flute Masterpieces (Highlights) | James Galway | | 1 |
| 1990 | James Galway plays Beethoven | James Galway; Ludwig van Beethoven | | 1 |
| 1990 | Mozart: Flute Concertos Nos. 1 & 2 / Concerto for Flute and Harp | Mozart; James Galway, New Irish Chamber Orchestra, André Prieur, Marisa Robles, London Symphony Orchestra, Eduardo Mata | | 1 |
| 1990 | The Enchanted Forest: Melodies of Japan | James Galway | | 2 |
| 1990 | Over the Sea to Skye: The Celtic Connection | James Galway & The Chieftains | | 2 |
| 1990 | 3 Concertos | C. P. E. Bach; Württembergisches Kammerorchester Heilbronn, Jörg Faerber, James Galway | | 3 |
| 1990 | 3 Concertos | C.P.E. Bach; James Galway, Württembergisches Kammerorchester Heilbronn, Jörg Faerber | | 1 |
| 1991 | 4 Concertos | Quantz; Württembergisches Kammerorchester Heilbronn, Jörg Faerber, James Galway | | 2 |
| 1991 | Christmas with James Galway | James Galway | | 1 |
| 1991 | The Wind Beneath My Wings | James Galway | | 2 |
| 1991 | In Dulci Jubilo | James Galway, Regensburger Domspatzen | | 3 |
| 1992 | The Magic Flute of James Galway | James Galway, National Philharmonic Orchestra, Charles Gerhardt | | 1 |
| 1992 | Beauty and the Beast: Galway at the Movies | James Galway | | 1 |
| 1992 | J.S. Bach Suite No. 2 / Concerto for Flute, Violin and Harpsichord | Johann Sebastian Bach; James Galway | | 2 |
| 1992 | Play Giuliani | Mauro Giuliani; James Galway, Kazuhito Yamashita, Joseph Swensen | | 1 |
| 1992 | Peace on Earth: A Bavarian Christmas | James Galway, Michala Petri, Nathalie Stutzmann, Guy Touvron, Francisco Araiza, Enoch zu Guttenberg | | 1 |
| 1993 | Water Music / Fireworks Music | Handel; Chamber Orchestra of Europe, Galway | | 1 |
| 1993 | Italian Flute Concertos | James Galway, I Solisti Veneti, Claudio Scimone | | 3 |
| 1993 | The Lark in the Clear Air | James Galway | | 2 |
| 1993 | Dances For Flute | James Galway | | 1 |
| 1993 | Dudley Moore introduces Concerto! Mozart: Concerto for Flute and Harp | Dudley Moore, Michael Tilson Thomas, James Galway, Marisa Robles | | 1 |
| 1993 | Flute Quartets | Mozart; Tokyo String Quartet, James Galway | | 2 |
| 1993 | James Galway plays Khachaturian | James Galway | | 1 |
| 1993 | The James Galway Collection | James Galway | | 1 |
| 1994 | Flute Concerto no. 2 / Concertante for Flute and Clarinet / Fantasia for Clarinet and Orchestra | Franz Danzi; James Galway, Sabine Meyer | 5 | 2 |
| 1994 | Wind of Change | James Galway | | 2 |
| 1994 | Pachelbel Canon & Other Baroque Favorites | James Galway | 5 | 2 |
| 1995 | Impressions | Claude Debussy, Maurice Ravel; Tokyo String Quartet, Richard Stoltzman, Heidi Lehwalder, James Galway | | 1 |
| 1995 | Konsert för flöjt och harpa / Flöjtkonsert nr. 1 | Mozart; Berliner Philharmoniker, Herbert von Karajan, Andreas Blau, James Galway, Fritz Helmis | | 1 |
| 1996 | Bach, Vol. 2: Trio Sonatas | Johann Sebastian Bach; James Galway, Phillip Moll, Sarah Cunningham, Monica Huggett | | 1 |
| 1996 | Flute Concertos | Wolfgang Amadeus Mozart; James Galway, Marisa Robles, Academy of St Martin in the Fields, Neville Marriner | | 1 |
| 1996 | The Celtic Minstrel | James Galway | | 3 |
| 1996 | The French Recital | James Galway, Christopher O’Riley | | 1 |
| 1997 | Legends | James Galway & Phil Coulter | | 3 |
| 1997 | James Galway Plays the Music of Sir Malcolm Arnold | Sir Malcolm Arnold; James Galway | | 1 |
| 1997 | Flute Concertos / Concerto for Flute and Harp | Mozart; Academy of St Martin in the Fields, Neville Marriner, James Galway, Marisa Robles | | 3 |
| 1998 | Winter's Crossing | James Galway & Phil Coulter | | 1 |
| 1998 | James Galway plays Lowell Liebermann | Lowell Liebermann; James Galway, Hyun-Sun Na, London Mozart Players, Lowell Liebermann | | 1 |
| 1999 | Tango del Fuego | James Galway | | 1 |
| 1999 | Un-Break My Heart | James Galway | | 2 |
| 1999 | Hommage a Rampal | James Galway & Jeanne Galway | | 1 |
| 1999 | Flute & Harp Concerto / Flute Concertos 1 & 2 | Wolfgang Amadeus Mozart; James Galway, Fritz Helmis, Herbert von Karajan | | 1 |
| 2001 | Love Song | James Galway | | 1 |
| 2002 | Music for My Little Friends | James Galway | | 1 |
| 2002 | A Song of Home: An American Musical Journey | James Galway; Jay Ungar & Molly Mason | | 1 |
| 2004 | Wings of Song | James Galway | | 2 |
| 2005 | Copenhagen Concert 11-11-05 | Carl Nielsen, Bernhard Romberg; James Galway | | 1 |
| 2006 | My Magic Flute | James Galway, Jeanne Galway, Catrin Finch, Sinfonia Varsovia | | 1 |
| 2008 | O'Reilly Street | James Galway, Tempo Libre | | 1 |
| 2014 | James Galway: Collaborations & Bonus Tracks | James Galway | | 1 |
| — | Flute Dreams | James Galway | | 1 |
| — | Flute Concerto in G K. 622G / Andante・Rondo・Allegro | Wolfgang Amadeus Mozart; James Galway, London Symphony Orchestra, Eduardo Mata, Chamber Orchestra of Europe, National Philharmonic Orchestra, Charles Gerhardt | | 1 |
| — | Sakura: Melodies of Japan | James Galway | | 1 |
| — | Song of the Seashore and Other Melodies of Japan | James Galway | | 1 |
| — | The Musical World of James Galway | James Galway | | 1 |
