[8] His recordings as a conductor include complete cycles of the symphonies of Sibelius and of Rachmaninoff, as well as orchestral works of Prokofiev, Shostakovich, Scriabin, Richard Strauss, Stravinsky, Beethoven, and Tchaikovsky.

[10] As part of Ashkenazy's 80th birthday celebrations, Decca is releasing the 'Complete Piano Concerto Recordings' and 'Ashkenazy on Vinyl' in July 2017.

He interpreted the soundtrack of the film Piano Forest: works from the repertoire of Bach, Mozart, Chopin and Beethoven.

On 17 January 2020 the artist management agency Harrison Parrott announced Ashkenazy's retirement from public performance.

[2] To marry Ashkenazy, Þórunn was forced to give up her Icelandic citizenship and declare that she wanted to live in the USSR.

Khrushchev mentioned that Ashkenazy then sought advice from the Soviet Embassy in London, who in turn referred the matter to Moscow.

[14] In 1963, Ashkenazy decided to leave the USSR permanently, establishing residence in London, where his wife's parents lived.

[16][17] In 1978 the couple and their (then) four children (Vladimir Stefan, Nadia Liza, Dimitri Thor, and Sonia Edda) moved to Lucerne, Switzerland.

[18] His eldest son Vladimir, who uses his nickname 'Vovka' as a stage name, is a pianist, as well as a teacher at the Imola International Piano Academy.

The Guardian wrote in 2018 that Ashkenazy conducted pieces by Prokofiev and Glière as if he had been "born to do it" during a concert series that explored the musical response to the Bolshevik Revolution of 1917, including composer Alexander Mosolov's Iron Foundry (1927) and the suite from The Red Poppy, a ballet with music by Glière.