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There is of course the excellent British radio show "Desert Island Discs", but choices are limited to songs or single pieces of music, which I find too limiting, not to mention impossible to choose.
I prefer the concept of 'Desert Island Albums', which could include sets which used to be 2 or 3 LPs, like Blonde on Blonde, but not box sets such as the complete Beethoven Symphonies. And I could only have one selection per artist or composer.
With these constraints in mind, I would choose:
Predictable for someone my age, but this would give me enough variety and quality of material to work out how to get off the island.
I would also give myself five 'honourable mentions' :
The Isle of View, Pretenders
The Allman Brothers Band at Fillmore East
Bryan Ferry Live in Lyons
Sarah McLachlan Closer
Kate Bush Hounds of Love
Your ideas/comments welcome!