| 1992 | Symphonies no. 4 & no. 5 | Giya Kancheli; State Symphony Orchestra of Georgia, Dzansug Kakhidze | | 4 |
| 1992 | Kancheli: Vom Winde beweint / Schnittke: Konzert für Viola und Orchester | Giya Kancheli, Alfred Schnittke; Kim Kashkashian, Dennis Russell Davies | | 1 |
| 1993 | Symphonies nos. 1 & 7 / Liturgy for Viola and Orchestra | Giya Kancheli; Moscow State Symphony Orchestra, Fedor Glushchenko, Svyatoslav Belogonov | | 2 |
| 1995 | Abii ne viderem | Giya Kancheli; Kim Kashkashian, The Hilliard Ensemble, Dennis Russell Davies, Stuttgarter Kammerorchester | | 1 |
| 1995 | Symphonies no. 6 & no. 7 "Epilogue" | Giya Kancheli; Tbilisi Symphony Orchestra, Jansug Kakhidze | | 1 |
| 1995 | Symphonies 1, 4, 5 | Giya Kancheli; Helsinki Philharmonic Orchestra, James DePreist | | 1 |
| 1995 | Exil | Giya Kancheli | | 1 |
| 1995 | Symphonies 2 & 7 | Giya Kancheli; Rundfunk‐Sinfonieorchester Berlin, Michail Jurowski | | 1 |
| 1996 | Pärt: Symphony no. 3 / Fratres / Kancheli: Symphony no. 3 | Arvo Pärt, Giya Kancheli; London Philharmonic Orchestra, Franz Welser‐Möst | | 1 |
| 1997 | Caris Mere | გია ყანჩელი | | 1 |
| 1998 | Symphonies 1 & 2 | Giya Kancheli; Tbilisi Symphony Orchestra, Djansug Kakhidze | | 1 |
| 1999 | Lament (Tbilisi Symphony Orchestra feat. conductor: Jansug Kakhidze, violin: Gidon Kremer, soprano: Maacha Deubner) | გია ყანჩელი | | 1 |
| 2000 | Magnum Ignotum | Giya Kancheli; Mstislav Rostropovich | | 1 |
| 2000 | Trauerfarbenes Land | Giya Kancheli; Radio Symphonieorchester Wien, Dennis Russell Davies | | 1 |
| 2002 | Kancheli: Styx / Gubaidulina: Viola Concerto | Kancheli, Gubaidulina; Yuri Bashmet, Orchestra of the Mariinsky Theatre, Valery Gergiev | | 1 |
| 2004 | Diplipito | Giya Kancheli | | 1 |
| 2005 | In l’istesso tempo | Giya Kancheli | | 1 |
| 2005 | Simi / Mourned by the Wind | Giya Kancheli; Alexander Ivashkin, Russian State Symphony Orchestra, Valeri Polyansky | | 1 |
| 2005 | Music for Film and Theater | Giya Kancheli | | 3 |
| 2006 | Light Sorrow / Mourned by the Wind | Giya Kancheli; I Fiamminghi, Rudolf Werthen | | 1 |
| 2007 | Styx, The Myrrh-Bearer | Kancheli, Tavener, Maxim Rysanov | | 1 |
| 2008 | Little Imber | გია ყანჩელი | | 1 |
| 2011 | Themes from the Songbook | გია ყანჩელი | | 1 |
| 2014 | Music for Violin and Piano | Glass, Kancheli, Tüür; Andrea Cortesi, Marco Venturi | | 1 |
| 2015 | New Seasons | Glass, Pärt, Kancheli, Umebayashi; Gidon Kremer, Kremerata Baltica | | 3 |
| 2015 | Chiaroscuro | Giya Kancheli | | 1 |
| — | Symphony no. 5 / Bright Sorrow | Giya Kancheli; The Georgian Radio Orchestra, The State Symphony of Georgia, Djansug Kakhidze | | 1 |
