FLCL (2001)

Hidomi Hibajiri is a young girl who never takes off her headphones. Her whole life consists of going to school, helping out at her mother's cafe, and listening to music. With nothing else to break the crippling monotony, she keeps her headphones on at all times. That is, until she is run over by a mysterious guitar-wielding woman.

The movie FLCL, released in 2001, features 1 song from the pillows.