This band I just came across today at GorillaVsBear, they are called Young Galaxy. Their newest album, Shapeshifting, came out in February and it is really cool. You can stream the entire album for free here. They have really chill beats with soundscape like synths and the vocals just add another layer of instrumentation.
Real Estate is a band that I have enjoyed ever since their debut album in 2009 of the same name. Last year they came out with an EP called Reality, and the single "Out of Tune." They are the perfect summer band with awesome indie guitars and lyrics that are easy to listen to at the pool or the beach.
One of the best bands I have heard in a while is The Radio Dept. Though they have been around for 10 years, they are still unknown here in the U.S. They just released a best singles double album, which is always a good place to start. Or you can check them out here.
Last but not least I'll break away from the chill indie music and give you Flake Music. Though now they are better known as The Shins, Flake Music started way back in early/mid-90s with a bunch of singles and EPs. Their only full length is called When You Land Here, It's Time To Return.