I agree with Elizabeth in that the five would have to be complex and intellectually stimulating pieces to keep from getting bored. You didn't mention whether there is any food or water on this island so it could be a moot point. Anyway, here goes:
Beethoven-Symphony in D minor #9-NBC Symphony Orchestra-Arturo Tocaninni and the Robert Shaw Chorus 1952
Beethoven-Symphony in D minor #9-Philadelphia Orchestra-Eugene Ormandy-The Mormon Tabernacle Choir-1973
Beethoven-Syhmphony in D minor #9-Berlin Philharmonic-Wilhelm Furtwangler-Bruno Kittel Choir-1942 remastered 1990.
Beethoven-Symphony in D minor #9-Cleveland Orchestra-Christoph Von Dohnanyi-Cleveland Chorus-1991
Beethoven-Symphony in D minor # 9-Philharmonia Orchestra and Chorus-Otto Klemperer-2010.
Memorizing every note and deciphering the subtle and nuanced differences in these interpretations would keep me occupied for the rest of my natural life

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