| 1982 | Concertos for Cello with Orchestra | Joseph Haydn; Lietuvos kamerinis orkestras, Saulius Sondeckis, Alexander Rudin | | 1 |
| 1995 | Concertos for Cello and Orchestra | Joseph Haydn; Alexander Rudin, Lithuanian Chamber Orchestra, Saulius Sondeckis | | 1 |
| 1996 | Concerts for Cello and Orchestra | C.Ph.E. Bach; Chamber Orchestra « Musica Viva », Alexander Rudin | | 1 |
| 1997 | Cello Concertos nos. 1 and 2 / Symphonic Poem: Spring | Kabalevsky; Moscow Symphony Orchestra, Igor Golovschin, Alexander Rudin | | 1 |
| 1997 | Symphony-Concerto for Cello and Orchestra / Concertino / Two Waltzes | Prokofiev; Alexander Rudin, National Symphony Orchestra of Ukraine, Theodore Kuchar | | 1 |
| 1999 | Orchestral Works, Volume 11: Works for Cello and Orchestra | Glazunov; Moscow Symphony Orchestra, Igor Golovschin, Alexander Rudin | | 2 |
| 2000 | Don Quixote / Romance for Cello and Orchestra | Richard Strauss; Alexander Rudin, National Symphony of Ireland, Gerhard Markson | | 1 |
| 2000 | Vladimir Krainev and Alexander Rudin Perform Frédéric Chopin, Part 2 | Frederick Chopin; Vladimir Krainev, Alexander Rudin | | 1 |
| 2002 | Cello Suites (Complete) | J. S. Bach; Alexander Rudin | 5 | 1 |
| 2003 | Symphony no. 2 / Serenade for String Orchestra / Meditation Symphony for Cello and Chamber Orchestra | Valentin Silvestrov; Musica Viva Chamber Orchestra, Alexander Rudin | | 1 |
| 2004 | Chamber Symphony / Sinfonietta for Strings | Boris Tchaikovsky; Musica Viva Chamber Orchestra, Alexander Rudin | | 1 |
| 2005 | 4 Concertos for Cello and Orchestra | Jean-Balthasar Tricklir; Alexander Rudin, Musica Viva Chamber Orchestra | | 1 |
| 2007 | Capriccioso: Under the Blue Skies | Saint‐Saëns, Paganini, Arensky, Alyabyev; Alexander Rudin, Vladimir Skanavi, Jana Ivanilova, Victor Ginsburg | 5 | 1 |
| 2009 | aAa | Mozart; Slovenska filharmonija, Aleksander Rudin, Aleš Kacjan | | 1 |
| 2013 | Cello Concerto in A major / Serenade for Strings in E major | Dvořák; Alexander Rudin, Musica Viva | | 1 |
| 2015 | Sonatas for… | Paul Hindemith; Isabelle Faust, Alexander Rudin, Jeroen Berwaerts, Teunis van der Zwart, Gérard Costes, Alexander Melnikov | | 1 |
| 2017 | Songs and Instrumental Music | Tigran Mansurian; Mariam Sarkissian, Julian Milkis, Anton Martynov, Daria Ulantseva, Musica Viva Moscow Chamber Orchestra, Alexander Rudin | | 1 |
| 2018 | Fantasies & Fairy Tales | Schumann; Asko Heiskanen, Réka Szilvay, Dmitry Sinkovsky, Alexander Rudin, Aapo Häkkinen | | 1 |
| 2018 | Concertino for Cello and String Orchestra / 24 Preludes for Solo Cello | Mieczysław Weinberg; Marina Tarasova, Musica Viva Chamber Orchestra, Alexander Rudin | | 1 |
| 2019 | Symphonies, op. 3, nos. 1, 3, 4, 5 and 6 | Johann Stamitz; Musica Viva Moscow Chamber Orchestra, Alexander Rudin | | 1 |
| 2019 | Symphonies nos. 1 and 13 | Myaskovsky; Ural Youth Symphony Orchestra, Alexander Rudin | | 1 |
| 2021 | Piano Trio no. 2 / Arpeggione Sonata | Schubert; Erich Höbarth, Alexander Rudin, Aapo Häkkinen | | 2 |
| 2022 | Works for Two Cellos | A. Kraft, N. Kraft, Romberg; Alexander Rudin, Emin Martirosian, Musica Viva Moscow Chamber Orchestra | | 1 |
