I have recently been made aware of The Psalm Project, a group of young Christian musicians in the Netherlands who are rendering the Genevan Psalms in contemporary form. Here is a medley of their efforts below, which are quite compelling:
Here are Psalms 86, 119 (partial, obviously) and 139:
Quite honestly, I do not recommend the microphoned performance style for liturgical use, as it calls too much attention to the singers, whose voices unduly dominate rather than support those of the congregation. Nevertheless, taken as performance music, these pieces are quite nice and worth listening to.