What a fun thread! Reading these replies made me smile, I gotta say… 
Anyway,… Just what do you mean by Desert? I mean, there’s gotta be enough flora and fauna to keep ya going, eh? and perhaps a nice mountain to climb and river for some fresh water? …
Deserted is something I can live with, easily 
If that’s what we’re going by, and sorry to get really contentious about the details, but there’s a hut with a solar panelled generator, some key appliances (like something to play the music?) and the internet comes as standard, right? 
Ok then, here we go:
Music:
1. Beethoven: Complete Symphonies. ~ Couldn’t live for long with out these
2. Cezar Frank: Symphony in Dminor ~ Something I have fond memories of
3. Bob Marley: Complete studio album box set ~ Being a bit cheeky with this one, like the Beethoven, but I couldn’t live without it. Failing that, any best-of would be better than nothing.
4. Joe Satriani: Strange Beautiful Music ~ Again, many fond memories accompany this album- more than any of his others
5. Ravi Shankar: Any best-of ~I’ve developed a taste for indian classical music, given that being a musician it confuses and inspires me
6. Hariprasad Chaurasia: Any best-of ~ See #5 above
7. Paulinho Nogueira: Primeiras Composicoes ~ A great Latin-American guitar player with awesome technique and style.
8. Heitor Villa-Lobos: Forest of the Amazon ~ A lush and exotic piece, although I could easily say his Bachianas brasileiras. I’ve tried to be specific here instead of cheating with “the complete works of” 
Book:
Shantaram: by Gregory David Roberts A mammoth book that took me ages to read, but has enough variety to never get boring. As a slow reader, it would be perfect. The book is a novel based on the true story of the Authors’ life: Having escaped a maximum-security prison in his home-country (co-incidentally, Australia) and fled to Mumbai where in the course of the novel, he’s changed by his experiences and slowly wakes up to the error of his ways and becomes a better man. Epic. It’s a real roller-coaster book, and while I don’t agree with much of the philosophy in the book it still touched me.
Luxury:
Without question or reserve, it would have to be my Guitar. (I’m going to bank on there being plenty of oregano growing wild
see my intro for reasons why I don’t think this is a real desert island :D)
If by desert you mean really-really-desert, then I suppose I’ll have to do without food and water

BONUS QUESTION: Is Shaun(OfTheDead) the best-looking in all the Universe, or just this galaxy alone?
Perhaps one, or both. But there’s always alternative dimensions to consider !
So his supposed good-looks are not a constant of the universe but in fact freakish occurrence. Like a terrible car accident :x 