I can recommend Simon Singh's book on this topic, his writing is rather captivating (The Big Bang is one of the best books I've read, so is the Code Book). He also made a BBC documentary on the topic.
+1 for the movie. It used to be on youtube but I can't find it right now. Perhaps the BBC had it removed. This is the finest moment in the movie, for me, when Wiles describes the moment when everything clicked. The whole movie is well worth watching.
I also want to urge anyone with even just a fleeting interest in mathematical topics like this to go out looking for said BBC documentary. It's a marvelous portrait of the characters and backstories behind this proof.