| 1995 | Music for Cello and Piano: Improvisation for cello solo / Madrigal in Memoriam Oleg Kagan for cello / Five Aphorisms for piano / Klingende Buchstaben for cello (Sounding Letters) / Sonata no. 1 for cello and piano | Alfred Schnittke; Alexander Ivashkin, Tamás Vesmás | | 1 |
| 1997 | Symphony no. 4 / Cello Concerto / Missa festiva | Grechaninov; Alexander Ivashkin, Russian State Symphonic Cappella, Russian State Symphony Orchestra, Valeri Polyansky | | 1 |
| 1998 | Complete Works for Cello and Piano | Alfred Schnittke; Alexander Ivashkin, Irina Schnittke | | 1 |
| 2000 | Symphony no. 7 / Cello Concerto no. 1 | Alfred Schnittke; Alexander Ivashkin, Russian State Symphony Orchestra, Valeri Polyansky | | 1 |
| 2001 | Complete Music for Cello and Piano | Roslavets; Alexander Ivashkin, Tatyana Lazareva | | 1 |
| 2001 | In croce / Quaternion / Ten Preludes | Sofia Gubaidulina; Alexander Ivashkin, Natalia Pavlutskaya, Rachel Johnston, Miranda Wilson, Malcolm Hicks | | 1 |
| 2002 | Symphony no. 27 / Cello Concerto | Nikolay Myaskovsky; Alexander Ivashkin, Russian State Symphony Orchestra, Valeri Polyansky | | 1 |
| 2002 | Symphony-Concerto (Sinfonia Concertante) / Symphony no. 2 | Prokofiev; Alexander Ivashkin, Russian State Symphony Orchestra, Valeri Polyansky | 5 | 1 |
| 2004 | Complete Works for Cello and Piano | Rachmaninov; Alexander Ivashkin, Rustem Hayroudinoff | | 1 |
| 2005 | Simi / Mourned by the Wind | Giya Kancheli; Alexander Ivashkin, Russian State Symphony Orchestra, Valeri Polyansky | | 1 |
| 2005 | Music for Cello Solo | A. Raskatov, A. Knaifel, S. Gubaidulina, P. Vasks, V. Ekimovsky, A. Schnittke; Alexander Ivashkin | | 1 |
| 2006 | Complete Works for Cello and Piano | Sergey Sergeyevich Prokofiev; Alexander Ivashkin, Tatyana Lazareva | | 1 |
| 2007 | Alexander Ivashkin plays Schnittke | Alfred Schnittke; Alexander Ivashkin, Russian State Symphony Orchestra, Valeri Polyansky | 5 | 1 |
| 2008 | Cello Concertos and Sonatas | Sergey Prokofiev; Alexander Ivashkin, Russian State Symphony Orchestra, Valeri Polyansky | 5 | 1 |
| 2012 | Complete Music For Cello | Nikolaj Korndorf; Alexander Ivashkin | | 1 |
| 2013 | Cello Concertos 1 & 2 | Shostakovich; Alexander Ivashkin, Valery Polyansky, Moscow Symphony Orchestra | | 1 |
