| 1988 | Violin Concerto in D op. 61 / 2 Romances | Ludwig van Beethoven, Joseph Swensen, André Previn & Royal Philharmonic Orchestra | 1 |
| 1992 | Play Giuliani | Mauro Giuliani; James Galway, Kazuhito Yamashita, Joseph Swensen | 1 |
| 1992 | Violin Concerto / 6 Humoresques / 2 Serenades | Sibelius; Joseph Swensen, Jukka‐Pekka Saraste, Finnish Radio Symphony Orchestra | 1 |
| 1999 | Violin Concertos of Mendelssohn and Bruch | Mendelssohn, Bruch; Robert McDuffie, Joseph Swensen, Scottish Chamber Orchestra | 1 |
| 2002 | Violin Concerto / Symphony no. 3 “Scottish” / Hebrides Overture | Mendelssohn; Scottish Chamber Orchestra, Joseph Swensen | 3 |
| 2003 | Pelleas and Melisande / Kuolema: Valse Triste / Belshazzar’s Feast / The Tempest: Suite no. 2 / Andante Festivo | Jean Sibelius; Scottish Chamber Orchestra, Joseph Swensen | 1 |
| 2004 | Violin Concerto / Hungarian Dances | Johannes Brahms; Scottish Chamber Orchestra, Joseph Swensen | 1 |
| 2005 | Symphony No.1 In D Major 'Classical' | Sergei Prokofiev, Scottish Chamber Orchestra & Joseph Swensen | 1 |
| 2006 | BBC Music, Volume 14, Number 11: Sibelius: Symphony no. 1 / Nielsen: Symphony no. 1 | Sibelius, Nielsen; BBC National Orchestra of Wales, Joseph Swensen, Ulster Orchestra, János Fürst | 1 |
| 2010 | Concerto pour Violoncelle / Le carnaval des animaux / Sonate / Romance | Camille Saint-Saëns; Henri Demarquette, Boris Berezovsky, Brigitte Engerer, Ensemble orchestral de Paris, Joseph Swensen | 1 |
| 2023 | BBC Music, Volume 32, Number 4: Symphonic Landscapes | Mozart, Brahms, Schubert, Mendelssohn; Scottish Chamber Orchestra, Francesco Piemontesi, Joseph Swensen, Charles Mackerras, Andrew Manze, Robin Ticciati, Maxim Emelyanychev | 1 |
| 2024 | BBC Music, Volume 32, Number 9: Schoenberg: Violin Concerto / Brahms: Serenade no. 2 | Schoenberg, Brahms; Ernst Kovacic, BBC National Orchestra of Wales, BBC Scottish Symphony Orchestra, Joseph Swensen, Alpesh Chauhan | 1 |
| 2024 | Ring Odyssey | Wagner; Orchestre National Bordeaux Aquitaine & Joseph Swensen | 1 |
| — | Schubert, Volume 2: Sonata D. 821 “Arpeggione” / Sonatas D. 384 & D. 408 / Rondo D. 895 | Schubert; Joseph Swensen, Jeffrey Kahane | 1 |