Question: What is the Big Band song playing as the taxi drives over the bridge?
Answer: It's called Empire State Montage by Hugo W. Friedhofer.
Question: Can anyone tell me the name of the artist who sings a jazz version of 'Somewhere Over The Rainbow' played when Tom Hanks finishes talking on the radio for the first time? And where can I buy this version of the song?
Answer: Ray Charles is the singer who performs this version of "Somewhere over the Rainbow" - this is not on the original movie soundtrack, but you may be able to find a Ray Charles album where this song is included.