| 1985 | Cadenza on the Night Plain | Terry Riley; Kronos Quartet | | 4 |
| 1985 | Monk Suite: Kronos Quartet Plays Music of Thelonious Monk | Kronos Quartet | | 4 |
| 1986 | Music by Sculthorpe, Sallinen, Glass, Nancarrow, and Hendrix | Kronos Quartet | | 2 |
| 1986 | Music of Bill Evans | Kronos Quartet | | 3 |
| 1987 | White Man Sleeps | Kronos Quartet | | 3 |
| 1988 | Winter Was Hard | Kronos Quartet | | 5 |
| 1989 | Different Trains / Electric Counterpoint | Steve Reich; Kronos Quartet, Pat Metheny | | 4 |
| 1989 | Salome Dances for Peace | Terry Riley; Kronos Quartet | | 1 |
| 1990 | Black Angels | Kronos Quartet | 5 | 4 |
| 1990 | In Formation | Kronos Quartet | | 1 |
| 1991 | String Quartet | Witold Lutosławski; Kronos Quartet | | 2 |
| 1991 | Already It Is Dusk / ''Lerchenmusik'' | Henryk Mikołaj Górecki; Kronos Quartet, London Sinfonietta Soloists | | 1 |
| 1991 | Advent / Crisis & Overcoming / Transmutation | Dane Rudhyar; Kronos Quartet, Marcia Mikulak | | 1 |
| 1992 | Pieces of Africa | Kronos Quartet | | 2 |
| 1993 | Short Stories | Kronos Quartet | | 1 |
| 1993 | String Quartet no. 1, op. 62 "Already It Is Dusk" / String Quartet no. 2, op. 64 "Quasi una fantasia" | Henryk Górecki; Kronos Quartet | | 2 |
| 1993 | At the Grave of Richard Wagner | Kronos Quartet | | 1 |
| 1993 | Piano and String Quartet | Morton Feldman; Kronos Quartet, Aki Takahashi | | 2 |
| 1993 | Du Cristal / …À La Fumée / Nymphéa | Kaija Saariaho; Los Angeles Philharmonic, Esa-Pekka Salonen, Petri Alanko, Anssi Karttunen, Kronos Quartet | | 2 |
| 1994 | Night Prayers | Kronos Quartet | 2 | 1 |
| 1995 | Kronos Quartet performs Philip Glass | Philip Glass; Kronos Quartet | 3.5 | 3 |
| 1996 | Howl, U.S.A. | Kronos Quartet | 2 | 2 |
| 1997 | Ghost Opera | Tan Dun; Kronos Quartet, Wu Man | | 1 |
| 1997 | The Complete Landmark Sessions | Kronos Quartet | | 1 |
| 1997 | Early Music (Lachrymæ Antiquæ) | Kronos Quartet | | 3 |
| 1997 | The Dreams and Prayers of Isaac the Blind | Osvaldo Golijov; Kronos Quartet, David Krakauer | | 2 |
| 1998 | Gnarly Buttons / John's Book of Alleged Dances | John Adams; Kronos Quartet | | 1 |
| 1998 | The Complete String Quartets | Alfred Schnittke; Kronos Quartet | | 2 |
| 2000 | Kronos Caravan | Kronos Quartet | | 1 |
| 2001 | Requiem for Adam / Philosopher's Hand | Terry Riley; Kronos Quartet | | 3 |
| 2002 | Nuevo | Kronos Quartet | | 2 |
| 2003 | String Quartet no. 4 | Pēteris Vasks; Kronos Quartet | | 1 |
| 2003 | U.S. Highball | Harry Partch; Kronos Quartet, David Barron | | 2 |
| 2005 | Mugam Sayagi | Franghiz Ali-Zadeh; Kronos Quartet | | 1 |
| 2005 | You’ve Stolen My Heart: Songs From R.D. Burman’s Bollywood | Kronos Quartet and Asha Bhosle | | 2 |
| 2007 | String Quartet no. 3 “...songs are sung” | Henryk Górecki; Kronos Quartet | | 1 |
| 2007 | Oceana | Osvaldo Golijov; Souza, Kronos Quartet, Upshaw, Atlanta Symphony Orchestra Chorus and Chorus, Spano | 2.5 | 2 |
| 2008 | The Cusp of Magic | Terry Riley; Kronos Quartet and Wu Man | | 1 |
| 2008 | Kronos Plays Holmgreen | Pelle Gudmundsen-Holmgreen; Kronos Quartet, Paul Hillier, Danish National Symphony Orchestra / DR, Thomas Dausgaard | | 1 |
| 2009 | Floodplain | Kronos Quartet | | 2 |
| 2010 | Music of Central Asia, Volume 8: Rainbow | Kronos Quartet with Alim and Fargana Qasimov & Homayun Sakhi | | 2 |
| 2011 | String Quartets | Christine Southworth; Kronos Quartet, Calder Quartet, Gamelan Elektrika, Face the Music | | 1 |
| 2011 | Uniko | Kronos Quartet, Kimmo Pohjonen, Samuli Kosminen | 5 | 1 |
| 2012 | Music of Vladimir Martynov | Vladimir Martynov; Kronos Quartet | | 1 |
| 2013 | Aheym | Bryce Dessner; Kronos Quartet | | 1 |
| 2013 | Under 30 Project: 1-4 | Kronos Quartet | | 1 |
| 2014 | Music for Heart and Breath | Richard Reed Parry; yMusic, Kronos Quartet, Nico Muhly, Bryce Dessner, Aaron Dessner & others | | 3 |
| 2015 | Tundra Songs | Kronos Quartet | | 1 |
| 2015 | Rebirth of a Nation | DJ Spooky; Kronos Quartet | | 2 |
| 2016 | Green Ground | Pelle Gudmundsen-Holmgreen; Kronos Quartet, Theatre of Voices, Paul Hillier | | 1 |
| 2016 | The Sea Ranch Songs | Aleksandra Vrebalov; Kronos Quartet | | 1 |
| 2017 | Folk Songs | Kronos Quartet, Sam Amidon, Olivia Chaney, Rhiannon Giddens, Natalie Merchant | | 2 |
| 2017 | Ladilikan | Trio Da Kali and Kronos Quartet | | 2 |
| 2018 | Landfall | Laurie Anderson & Kronos Quartet | 2 | 3 |
| 2018 | Clouded Yellow | Michael Gordon; Kronos Quartet | | 3 |
| 2019 | Placeless | Kronos Quartet, Mahsa & Marjan Vahdat | | 3 |
| 2019 | Sun Rings | Terry Riley; Kronos Quartet | | 3 |
| 2020 | Long Time Passing | Kronos Quartet | | 2 |
| 2022 | Mỹ Lai | Kronos Quartet | | 2 |
| 2023 | Songs and Symphoniques: The Music of Moondog | Moondog; Ghost Train Orchestra, Kronos Quartet | | 1 |
| 2024 | Outer Spaceways Incorporated: Kronos Quartet & Friends Meet Sun Ra | Kronos Quartet | | 1 |
