My Morning Jacket, Iron and Wine, Band of Horses, Bon Iver, Cocorosie, National, Mumford and Sons, Neutral Milk Hotel, The Sudden Passion, Taken by Trees, and I always recommend the Mountain Goats (the best band in the entire world, IMO).
I followed the “sounds like Fleet Foxes” rule a little loosely, but I’m sure you’ll absolutely love those bands if you like Fleet Foxes.