Not really anime songs, but I am just listening to some moving anime songs that I listened to in the past. I really enjoy reading the lyrics to these songs because they tell a story instead of the usual Verse and Chorus. I seen quite a few Jpop songs that goes about this way and I find them more enjoyable than the repetitive songs of America.
Yanagi Nagi is such an amazing vocalist and I love her songs that she has done with Ryu and Jun Maeda.