Listeners can submit their choices on the Desert Island Discs page of the Radio 4 website until 2pm on June 3. A special 90-minute programme, titled Your Desert Island Discs, will air on June 11 at 9am on Radio 4, revealing some of the selections made by the public and comparing them with the choices of previous castaways.
Created in 1942 by Roy Plomley, Desert Island Discs was presented by Michael Parkinson from 1985 to 1988, followed by Sue Lawley from 1988 to 2006. It is currently hosted by Kirsty Young.
Former castaways have included Tony Blair, Noel Coward, John Cleese, the Duke and Duchess of Devonshire, Colin Firth, Stephen Hawking and Paul McCartney.
The most popular piece of music selected over the years has been Beethoven's 'Symphony No. 9 in D Minor', picked by 97 castaways, including Martin Sheen and Paulo Coelho.
The top eight most popular music choices have been classical, while the eight favourite artists are also classical composers. The most popular non-classical discs include Edith Piaf's 'Non, Je Ne Regrette Rien', Frank Sinatra's 'My Way' and Noel Coward's 'Mad Dogs And Englishmen'.
However, some castaways have also made non-music choices, including Dame Judi Dench and Princess Grace of Monaco picking a spoken word recording, Ann Widdecombe choosing the sound of a hippo, and rower Matthew Pinsent taking a cricket commentary.
Young said: "Every castaway is unique, but the one thing they all say to me is how difficult it is to choose their eight discs. Now the nation has a chance to share in the agony and ecstasy of making their very own selection."
As part of a celebration of Desert Island Discs, Young will also host a special edition of BBC Radio 2's Friday Night Is Music Night, titled Desert Island Music Night. The show, due to air this Friday at 8pm, will feature interviews with former castaways and showcase their music selections.
In March, the BBC announced plans to make all 500 episodes of Desert Island Discs from the last decade available to download online, alongside information on every participant's choice of music, books and luxury items.