hmm i was also going to say Evanescence's my immortal..but you got that already
try...
Natalie Imbruglia - Goodbye (was also played in buffy too
)
Natalie Imbruglia - Do You Love (the lyric is kinda depressing to me..)
Evanescence - Hello
Evanescence - October
Sarah Maclachlan - Fallen
Cranberries - Insensitive
No Doubt - Don't Speak