See http://www.bbk.ac.uk/news/professor-eric-hobsbawm-memorial for more details.
Also, in case you didn't already know, the BBC have an online archive of past Desert Island Dics programmes. Amongst the 1,500 episodes you'll find:
- E P Thompson (from 1991) http://www.bbc.co.uk/radio4/features/desert-island-discs/castaway/48e09905#p0093yqd
- Eric Hobsbawm (from 1995) http://www.bbc.co.uk/radio4/features/desert-island-discs/castaway/767c82de#p0093pss
- Richard Hoggart (from 1995) http://www.bbc.co.uk/radio4/features/desert-island-discs/castaway/d6a86f6d#p0093p7j
- Stuart Hall (from 2000) http://www.bbc.co.uk/radio4/features/desert-island-discs/castaway/caed0ab9#p0094b6r
There are plenty more too in the archive. And you can download and keep them for ever more!