My writing muse seems to like trance music a lot. But then, I write fantasy and that whole ethereal scifi-with-a-beat sound is exactly the right feel.

For music... Hmm. The muse tends to come of her own accord, especially when I've been playing with new sounds and new equipment.

For lyrics, it gets a little trickier. Often visual arts will provide the spark that the muse likes to fly in on.