As far as indie/alt rock/ bit alternative stuff,
Wild Nothing. Check out their album Nocturne. Track #1 and #3 are my favorites. Creds to Dillinger on this one.
Just gonna mention a few artists here: Alt-J, Generationals, Peace, Jonas Alaska, Kakkmaddafakka, M83, Of Monsters and Men, FMLYBND, Miami Horror, Crystal Fighters, The Tallest Man on Earth, Mikhael Paskalev, Kings of Leon (ish) , Southern, Youth Lagoon, Gypsy & The Cat, The XX, Bonobo, Cut Copy etc etc
As far as chill rap goes,
Souls of Mischief, People Under the Stairs, Cragi Mack (Flava in ya ear), pretty much anything produced by J Dilla, Also check out Guillotine (Swordz) by Raekwon.Inspectah Deck's first verse is just fenomenal. Nas, MF Doom, Biggie if you're a bit selective, Nujabes, check out Feather // Mystline // Aurarian Dance.
Uhm, A Tribe Called Quest, Q-Tip's good alone too, Redman, some old Snoop Dogg, etc. you can pm me if you want anything more / spesific playlists.