There is nothing to compare with the beauty and reverence of the Psalms sung in the Anglican chant.
Here is a collection of 67 Psalms chanted in the Anglican tradition
The video on this one is not as good but here is my one of my personal favorite chant tunes.
Other audio selections
Westminster Abbey Choir: Psalm 111
Westminster Abbey Choir: Psalm 149
The Canticle Jubilate Deo
Westminster Abbey Choir: Psalm 46
Westminster Abbey Choir: Psalm 8
Westminster Abbey Choir: Psalm 15
Westminster Abbey Choir: Psalm 19