Asked just for fun. I think drawing/painting and music belong together.
Here is my list:
for quick and expressive drawings I listen to alternative rock like Blind Age(unknown to the most of you, friends to me), Linkin' Park, 3Doors Down, Alter Bridge, and many more.
for very freaky ideas I listen to Dream Theatre(though I can't stand that only for 1-2 hours...)
for moody titles and chilley works I listen to recreative Ambient&Trance Techno like XERXES, Martin O'Donnel(Soundtrack from HALO2) and several else.
Now let me know yours...
for relax: Mike Oldfield, Jean Michel Jarré...
for energy: REM, U2, techno music (New Order, Depeche mode, Erasure, Real Life, Midnight Oil...)