I don't even know if this is Indie, but well... Anyone enjoy Kings of Convenience? Not my favorite band ever but they have some cool soft tunes that can be pretty relaxing.
Recommendations: I'd rather dance with you, Failure, The build up, Know How
The singer (Erlend Øye) also has another band, The Whitest Boy Alive that is a bit more guitar driven (not that much). Not as good as Kings imo, but still decent.
Recommendations: Burning, Golden Cage, Done with you