I don't write with any particular music playing in the background, because it can be distracting. But when running and working on ideas I will often listen to a limited series of songs or albums to feed the tone required for the story.
Here are some:
Beyond Belief: Oasis, (Definitely Maybe).
Desert Heart: Skunk Anansie, (Smashes and Trashes).
Lucid: A selection of dub-step songs from Zomboy, Seven Lions, AU5, Knife Party (of course), Porter Robinson and Skrillex. (And me!)
Sucker: Gare du Nord (Rendez Vous 8:02).
Faraday: Within Temptation (the Unforgiving), Meat Loaf (Bat 3), Skunk Anansie, (Smashes and Trashes).
Fusion: VNV Nation (Automatic), Within Temptation (Hydra), 3OH!3 (Omens).