I'd like to build a playlist of this stuff, thought I'd pick at the DiS brains for it. No need to debate what is meant by classical...can be neo-classical, modern composition, soundtrack...stuff like these two really:

Max Richter: http://m.youtube.com/watch?v=rVN1B-tUpgs
Olafur Arnalds: http://m.youtube.com/watch?v=Dn3woX74Z4A