Artyem pinned this as sounding like something off the "O Brother, Where Art Thou?" soundtrack.
If you like that country bluesy sounding stuff, this one is for you.
Here's a supergroup involving the lead singer of My Morning Jacket, Elvis Costello, and Marcus Mumford of Mumford & Sons.
The New Basement Tapes have a blues rock sound coming straight out of the 1960's.