Since I doubt I'm allowed to bring my Bernstein / DG Mahler Box set...
Mahler 5 - NYPO, Mehta (This recordng if only for Phil Smith's trumpet playing! One of my favourite pieces of music)
Wynton Marsalis / ECO - "London Concert" Mike may hate the Haydn, but I don't, and Wynton's playing on this one is just beautiful!
Bach Cello Suites - Janos Starker / Yo-Yo Ma. I can't quite decide on which recording, but these are some of the most beautiful pieces of music ever written!
Miles Davis - "Sketches of Spain" Just beautiful.
Clifford Brown - "Study in Brown" I'd take the time on my island to transcribe and learn all his solos
Oscar Peterson Trio - "Night Train" No explanation needed for this one, just amazingly elegant, beautiful, timeless playing.
Saves the Day - "Stay What You Are" Some music without strings, or trumpets! I really love this album, and it would also be something different to keep me sane.
Mahler 9 - Philharmonia / Zander Another one of my absolute favourites, and one of the most profound pieces of music I know.
As for my book, it'd be a toss up between Brian Greene's "The Fabric of the Cosmos", because I could read it again and again until I actually understood all of it, and Marcel Proust's "In search of lost time", for the same reason
Since I've already got the Shakespeare, I think I'll go for Brian Greene's science book.
And my luxury? Well this one is pretty obvious really, (since that inanimate rule prevents me from stowing away any of the hot women from "Lost"...) and since I seem to spend most of my life in the desert island that is the practice room anyway... my Bb.