In going along with my unconscious "one big name, one indie band" pattern, here's the next (stretching that term in relativity) big name. Number two in most books, number one in mine.
Portishead
I saw a saviour
a saviour come my way
I thought I'd see it
at the cold light of day
but now I realise that I’m
Only for me
My First Album of Theirs: Dummy
Favourite Album: Third
Why I Started Listening: Thanks to my roommate, I once had a, rather extensive, Trip Hop phase. During that phase I also, again via my roommate, discovered Portishead and whilst I've cooled a bit on most other Trip Hop stuff, Portishead is still a favourite of mine.