| 1990 | Cello Concerto / Stille musik / Cello Sonata | Alfred Schnittke; Maria Kliegel, Raimund Havenith, Burkhard Godhoff, Saarbrücken Radio Symphony Orchestra, Gerhard Markson | | 2 |
| 1992 | Cello Concertos | Dvořák, Elgar; Maria Kliegel, Royal Philharmonic Orchestra, Michael Halász | | 2 |
| 1993 | Schubert: Arpeggione Sonata / Schumann: Fantasiestücke / Stücke im Volkston / Adagio and Allegro | Franz Schubert, Robert Schumann; Maria Kliegel, Kristin Merscher | | 1 |
| 1993 | Cello Sonatas: No. 1, op. 38 / No. 2, op. 99 / Op. 78 | Johannes Brahms; Maria Kliegel, Kristin Merscher | | 1 |
| 1993 | Cello Sonatas nos. 1 and 2 / Variations concertantes | Mendelssohn; Maria Kliegel, Kristin Merscher | | 1 |
| 1994 | Tchaikovsky: Rococo Variations / Bruch: Kol Nidrei / Bloch: Schelomo | Tchaikovsky, Bruch, Bloch; Maria Kliegel, National Symphony Orchestra of Ireland, Gerhard Markson | | 1 |
| 1994 | Le Grand Tango and Other Dances for Cello and Piano | Cassadó, Falla, Rachmaninov, Popper, Tagell, Piazzolla, Tchaikovsky; Maria Kliegel, Bernd Glemser | | 1 |
| 1995 | Brahms: Double Concerto for Violin & Cello, op. 102 / Schumann: Cello Concerto in A minor, op. 129 | Brahms, Schumann; Maria Kliegel, Ilya Kaler, National Symphony Orchestra of Ireland, Andrew Constantine | | 2 |
| 1996 | Seven Words / Silenzio / In croce | Gubaidulina; Maria Kliegel, Elsbeth Moser, Kathrin Rabus, Camerata Transsylvanica, György Selmeczi | | 1 |
| 1996 | Cello Sonata / Polonaise Brillante / Grand Duo | Chopin; Maria Kliegel, Bernd Glemser | | 1 |
| 1996 | Cello Concertos nos. 1, 2 | Shostakovich; Maria Kliegel, Polish National Radio Symphony Orchestra, Antoni Wit | | 1 |
| 1996 | Music for Cello: Three Chorale Preludes / Cello Sonatas opp. 4 and 8 | Zoltán Kodály; Maria Kliegel, Jenő Jandó | | 1 |
| 1997 | Cello Concertos nos. 1 & 2 / Suite, op. 16 / Allegro Appassionato / The Swan | Saint‐Saëns; Maria Kliegel, Bournemouth Sinfonietta, Jean‐François Monnard | | 2 |
| 1998 | Sonate poétique, op. 8 / Sonata in C minor, op. 35 / Nuit d'étoiles, op. 14 | Jörg Demus; Maria Kliegel | | 1 |
| 1998 | Triple Concerto / Piano Concerto in D major, op. 61a | Beethoven; Dong-Suk Kang, Maria Kliegel, Jenő Jandó, Nicolaus Esterházy Sinfonia, Béla Drahos | | 1 |
| 1999 | The Protecting Veil / In Alium | John Tavener; Maria Kliegel, Eileen Hulse, Ulster Orchestra, Takuo Yuasa | | 1 |
| 1999 | Konzertstück for Cello and Orchestra / Sonata for Cello and Piano / Ruralia Hungarica | Ernő Dohnányi; Maria Kliegel, Jenő Jandó, Nicolaus Esterházy Sinfonia, Michael Halász | | 1 |
| 1999 | Music for Cello, Volume 2: Duo for Violin and Cello / Hungarian Rondo | Zoltán Kodály; Maria Kliegel, William Preucil, Jenő Jandó | | 1 |
| 1999 | Hommage à Nelson M., op. 27 | Wilhelm Kaiser-Lindemann; Maria Kliegel, Stephan Froleyks | | 1 |
| 2000 | Drei Violoncellokonzerte | Joseph Haydn; Kölner Kammerorchester, Helmut Müller-Brühl, Maria Kliegel | | 2 |
| 2000 | Romantic Cello Showpieces: Im Walde / Requiem / Hungarian Rhapsody | David Popper; Maria Kliegel, Nicolaus Esterházy Sinfonia, Gerhard Markson | | 1 |
| 2002 | Cello Sonatas nos. 1 and 2 | Beethoven; Maria Kliegel, Nina Tichman | | 1 |
| 2003 | Cello Sonatas no. 3, op. 69 and op. 64 | Beethoven; Maria Kliegel, Nina Tichman | | 1 |
| 2004 | Cello Sonatas nos. 4 and 5 | Beethoven; Maria Kliegel, Nina Tichman | | 1 |
| 2005 | Cello Suites | J. S. Bach; Maria Kliegel | | 1 |
| 2005 | Orchestral Works, vol 1 | Bo Linde; Karen Gomyo, Maria Kliegel, Gävle Symphony Orchestra & Petter Sundkvist | | 1 |
| 2007 | Cello Sonatas / Suite for Cello and Piano, op. 16 | Saint‐Saëns; Maria Kliegel, François‐Joël Thiollier | | 2 |
| 2007 | Virtuoso Cello Showpieces | Orr, Cassadó, Danzi, Dvořák, Castelnuovo‐Tedesco; Maria Kliegel, Nina Tichman | 3 | 1 |
| 2010 | Piano Trios nos. 4 and 8 (for piano, clarinet and cello) | Beethoven; Ib Hausmann, Maria Kliegel, Nina Tichman | | 1 |
| 2011 | Cello Sonatas no. 1 and 2 / Konzertstücke, op. 20 | Camillo Schumann; Maria Kliegel, Francesco Piemontesi | | 1 |
| 2013 | Cello Sonatas | Georges Onslow; Maria Kliegel, Nina Tichman | | 2 |
