| 1967 | Vienna Flute Quintet In D major / Piano Sonata In E major | Joseph Martin Kraus; Werner Löhrich, Günter Krieger, The Heidelberg Barock Ensemble | | 1 |
| 1971 | Wiener Flötenquintett / Klaviersonate | Josef Martin Kraus; Richter, Krieger, Naegele, Ohnheiser, Krakow, Döcke | | 1 |
| 1974 | Music for Flute and Violin / Viola | Beethoven, Telemann, Kraus; Eugenia Zukerman, Pinchas Zukerman | 3 | 1 |
| 1979 | Sonat nr 1 E-dur / Sonat nr 2 Ess-dur | Joseph Martin Kraus; Lucia Negro | | 1 |
| 1988 | Sorgemusik över Gustav III | Joseph Martin Kraus; Hillevi Martinpelto, Christina Högman, Claes‐Håkan Ahnsjö, Thomas Lander, Uppsala Akademiska Kammarkör, Drottningholms Barockensemble, Stefan Parkman | | 2 |
| 1990 | Arie e Cantate | Joseph Martin Kraus; Barbara Bonney, Claes‐Håkan Ahnsjö, Drottningholmsteaterns orkester, Thomas Schuback | | 1 |
| 1991 | 4 Sinfonien | Joseph Martin Kraus; Concerto Köln | | 1 |
| 1991 | Symfonier | Joseph Martin Kraus; Orchestra of the Age of Enlightenment, Anthony Halstead | | 1 |
| 1992 | Symphonien / Violinkonzert | Joseph Martin Kraus; Edith Peinemann, Stuttgarter Kammerorchester, Martin Sieghart | | 1 |
| 1992 | Sinfonien, Vol. 2: Symphonie funèbre | Joseph Martin Kraus; Concerto Köln | | 1 |
| 1997 | Symphonies in E-flat, C and C minor / Olympie Overture | Joseph Martin Kraus; Swedish Chamber Orchestra, Petter Sundkvist | | 1 |
| 1998 | Istvánffy: Messa dedicata al patriarcha Santo Benedetto (approx. 1770s) / Kraus: Requiem (1775) | Benedek Istvánffy, Joseph Martin Kraus; Orfeo Orchestra, Purcell Choir, György Vashegyi | | 1 |
| 1999 | Symphonies Vol. 2 | Joseph Martin Kraus; Swedish Chamber Orchestra, Petter Sundkvist | | 1 |
| 1999 | Musica sacra | Joseph Martin Kraus; Philharmonia Chor Stuttgart, Stuttgarter Kammerorchester, Helmut Wolf | | 1 |
| 2000 | Complete Symphonies, Vol. 3 | Joseph Martin Kraus; Swedish Chamber Orchestra, Petter Sundkvist | | 2 |
| 2002 | Complete Symphonies, Vol. 4 | Joseph Martin Kraus; Swedish Chamber Orchestra, Petter Sundkvist | | 1 |
| 2003 | Klavierwerke | Joseph Martin Kraus; Alexandra Oehler | | 1 |
| 2003 | Complete Piano Music | Joseph Martin Kraus; Jacques Després | | 1 |
| 2003 | Flute Quintet / String Quartets, op. 1 nos. 3 & 4 | Joseph Martin Kraus; Martin Sandhoff, Schuppanzigh Quartett | | 1 |
| 2005 | Complete Piano Music | Joseph Martin Kraus; Mario Martinoli | | 1 |
| 2005 | Sonatas & Trio | Joseph Martin Kraus; Vaughan Schlepp, Antoinette Lohmann, Frank Wakelkamp | | 1 |
| 2006 | The Solo Piano Music | Joseph Martin Kraus; Ronald Brautigam | | 1 |
| 2006 | Complete Chamber Music With Keyboard | Joseph Martin Kraus; Walter Schwede, Jacques Després, John Friesen | | 1 |
| 2006 | Complete German Songs | Joseph Martin Kraus; Birgid Steinberger, Martin Hummel, Glen Wilson | | 1 |
| 2007 | Ballet Music | Joseph Martin Kraus; Swedish Chamber Orchestra, Petter Sundkvist | | 1 |
| 2007 | Violin Concerto / Olympie / Azire | Joseph Martin Kraus; New Zealand Symphony Orchestra, Uwe Grodd | | 1 |
| 2008 | La primavera: Cantate per una primadonna | Joseph Martin Kraus; Simone Kermes, Werner Ehrhardt, l’arte del mondo | | 1 |
| 2008 | Amphitryon | Joseph Martin Kraus; Chantal Santon, Georg Poplutz, l’arte del mondo, Werner Ehrhardt | | 1 |
| 2009 | Miserere / Requiem / Stella coeli | Joseph Martin Kraus; Blessing-Leyhausen, Adam, Schüller, Prégardien, Abele, Deutscher Kammerchor, La Stagione Frankfurt, Michael Schneider | | 1 |
| 2009 | Classical Symphonies | François-Joseph Gossec, Johann Baptist Vanhal, Antoine Mahaut, Joseph Martin Kraus; Cappella Coloniensis, Hans-Martin Linde | | 1 |
| 2010 | Aeneas in Carthage – Opera: Overtures, Ballet Music and Marches | Joseph Martin Kraus; Sinfonia Finlandia Jyväskylä, Patrick Gallois | | 1 |
| 2012 | Viola Concertos | Joseph Martin Kraus; David Aaron Carpenter, Tapiola Sinfonietta | | 1 |
| 2014 | Symphonies & Violin Concerto | Joseph Martin Kraus; Zsolt Kalló, Capella Savaria, Nicholas McGegan | | 1 |
| 2014 | Arias and Overtures | Joseph Martin Kraus; Monica Groop, Helsinki Baroque Orchestra, Aapo Häkkinen | | 1 |
