God tier:
Joanna Newsom
PJ Harvey
Björk

Demigod tier:
Ane Brun
Anna Ternheim
Anna von Hausswolff
Beth Orton
Carina Round
Fiona Apple
Jenny Lewis
Kate Bush
Patti Smith
Regina Spektor

Legendary tier:
Amy Winehouse
Annika Norlin (Säkert! / Hello Saferide)
Feist
Frida Hyvönen
Joanne Shaw Taylor
Laleh
Laura Marling
Missy Higgins
Norah Jones
Sofia Karlsson

This is just counting still active musicians. Include non-active ones would make me seizure trying to arrange them.