Most of these are INFP, but hey, it takes one to know one, haha.
Slowdive: INFP
My Bloody Valentine: INFP
M83: INFP
Animal Collective: ISFP
Cocteau Twins: ISFP
Oasis: ENTJ (?, whatever the most arrogant type is)
Wayne Coyne (The Flaming Lips): ENTP (likely, could be ENFP also)
Syd Barrett (Pink Floyd): INFP (unstable)
Lou Reed (The Velvet Underground): INTP
Ian Curtis (Joy Division): INFP
Erik Satie: INTP or INTJ (not sure)
Bjork: ISFP or INFP or INFJ (she is likely her own type, from a different species :tongue

Bob Dylan: INTP
Neil Young: INFJ
Robert Smith (The Cure): INFP
Kate Bush: INFP
Kurt Cobain: INFP (likely)
The ongoing discussion of what Pink Floyd's members were is on this forum, I'm just having trouble putting the link here. Just search "Pink Floyd" and it should take you to the thread.
As a side note, I have no idea what Bono from U2 is, but it would be entertaining to figure it out lol.