I listen to a lot of stuff while drawing, but lately Broadcast has really been working for me. There's just enough instrumental stuff to not completely distract me.
Most lyricless music really does it for me as well. This can range from Raymond Scott to Animanaguchi.
Otherwise, I like audio books of books that I've read before. American Gods and the entire Discworld collection have gotten me through some serious deadlines.
I aim for upbeat music when I have a tight deadline, the audio books or other relaxed musics when I have a long project to work on.
Strangely enough, I have a few stations on Pandora that will ALWAYS get me through a creative block. I don't think it has anything to do with what the music actually is, but it's just from the association of listening to them when I've had some high creative flow. That sort of repetition/deja vu feeling always seems to jog my brain juices in a pinch.
I tend to have the radio on while I work, I'll either listen to Classic FM or try and find any weird stations transmitting on Longwave that play odd arabian folk or bulgarian choirs etc.
Recently (because my work music is constantly changing), I've been listening to a lot of Beastie Boys, the score for Inception (Dream is Collapsing, in particular, is great for when I'm in a work rut) and the score for The Social Network.
I have a few highly varied mix discs here at work, with tracks ranging from Talking Heads to Johnny Cash to the Bulgarian Womens' Choir. And Caleb Sampson.
I recently listened to the soundtrack of the Georgio Moroder version of Metropolis.
Oh, and a highly peculiar collection called the "Science Fiction Forum Soundtrack," put together by college friends in the late 1980s. It has a song from The Five Thousand Fingers of Dr. T, the highly peculiar live-action Dr. Suess movie. I'll see if I can find it online later.
I also prefer instrumental, especially when writing: Red Sparowes, Pelican, Ikonika, Russian Circles, Caspian, El Michels Affair, If These Trees Could Talk, Irepress, Yann Tiersen, Moondog... Some of these aren't always instrumental, but then I just skip to the next track.
Recently started listening to Inkstuds while drawing.
Hyperdub and Planet Mu compilations. Broadcast, Seefeel, Aphex Twin, Boards of Canada. A bunch of chillwave found on the internet. Atlas Sound. J Dilla....