That is actually pretty close to my ideal desert island scenario.
Fortunately I have given this a lot of thought and I know what phonographs I would bring.... it would be the first 5% of the Complete Works of Shakespeare in audio form.
Said using my Sir Ian McKellen voice:
Be not afeard. This isle is full of noises,
Sounds and sweet airs that give delight and hurt not.
Sometimes a thousand twangling instruments
Will hum about mine ears, and sometime voices
That, if I then had waked after long sleep,
Will make me sleep again; and then, in dreaming,
The clouds methought would open and show riches
Ready to drop upon me, that when I waked
I cried to dream again.