I would want some good thick books that I wouldn't mind re-reading. Luckily those are my favorite types of books, so here is my list.
The Game of Thrones series - Yep, counting them all as one book. Hopefully when I become stranded on a desert island, I was on a ship that contained a library and all of the books surived onto the shore... Yep, makes sense in my head.
The Gemma Doyle trilogy - I just re-read the first two, and they absolutely held up to my memory of how great they were. I'd definitely be able to re-read these.
Great Expectations - Pip could inspire me to make the best of whatever situation I have found myself in.
Robinson Crusoe - This would be helpful in giving me some ideas on how to survive on a desert island.
The Bible - I'm gonna need some help from the big guy to survive.
Beauty by Robin McKinley - If I needed to escape to another land, this would be the perfect book to distract me.
The Hobbit and Lord of the Rings - Tolkien never gets old. It doesn't matter how many times you read it, you will always find new things.
My Nook - Let's pretend that there is electricity on this deserted island. K? I would fill my nook up with all the books and bring that with me.
And that's my list. Nothing spectacular. but good ones. What about you? Which books would you want on a deserted island?