Sherlock Holmes. Considering he's a complete genius, I don't imagine there would be too many issues arising. Well, that and Sherlock Holes is one of my favourite fictional characters ever...
Hermione Granger from Harry Potter. Being a witch,and a clever one at that. We both might get along since we act just like each other,and we can try to figure out a way to escape the island.
Raoul Duke. From Fear and Loathing in Las Vegas. That would be pretty epic. he would an interesting person to get stuck with. Plus, then, we could make cocaine, LSD and a variety of other drugs, using natural sources and trip for the rest of our not-so-miserable lives.
Spongebob, cause he's fun Sandy Cheeks, cause she can help me survive Finn or Jake, cause it would be adventurous One of the maximum ride flock, cause they could fly me out.