"Track 6" (really, I couldn't find the real name) from the show Hyouka is another pretty background piano piece.
"Galapogos" by Smashing Pumpkins is a sweeping orchestral song where everything, even the guitars, sound truly orchestral.
"Todeswalzer" by Windir is a really fun new wave-y black metal song. That sounds strange, but I mean it.
"Moment of Dream" by Hiroyuki Sawano is a pretty orchestral piece with pretty vocal and electronic accompaniment.
"Kage No Deshouka Daiichibu" from the show From The New World mixes distorted guitar with a children's choir, creating a jarring effect suitable for an epic theme.
"One More Cup of Coffee" by White Stripes is a fairly faithful rock rendition of the original song (by Bob Dylan). There's a cool organ part that starts a while into the song too.