Every music lover has a favorite song that inspires them or just makes them have such an extreme reaction to. If you know what song or songs this could be for your loved one, make a stenciled canvas wall hanging that features the lyrics on it.
You can also use quotes from their favorite musicians. This can easily be one of the best gifts that you can give a music lover. If you are not crafty yourself, you can find unique handmade gifts on sites like Etsy to see if they have something similar.