I love Thomas Newman, though I haven't really looked for a collection of his music.
The music playing in your clip is from The Shawshank Redemption
In addition to Shawshank Redemption, I have some of his music from American Beauty, Meet Joe Black, Finding Nemo, Little Children and Cinderella Man.
He does a great job with piano and strings in his music, whether it is slow/pondering or upbeat. He has been nominated for an Oscar something like 6 or 7 times but never won.
A little trivia: His cousin Randy Newman is also a film composer who did The Natural as well as most of the Pixar movies (He won an Academy Award for Best Song from Monsters, Inc.)
"On spaceship earth there are no passengers...only crew."