Cool sites where you can find interviews with authors:

12 or 20 Questions
Academy of American Poets Interviews
The American Reader In Conversation section
BBC archive of Modern Writers interviews
Bomb blog Literature section
BookGirl.TV
Full Stop
fwriction : review  Writer Squared interviews
Goodreads’ Author Interviews
How a Poem Happens (blog of poems and interviews with poets)
Hipster Book Club (HBC)
Identity Theory
Inspiration Networked (interviews with artists of all kinds)
Jacket2
The Millions | Interviews
The Nervous Breakdown (I especially enjoy the writer self-interviews.)
Novel Chatter author interviews
Omnidawn Publishing’s OmniVerse interviews
One Story (look up a current or past story to see an interview with the author)
Other People podcast
The Paris Review interviews
Poetry Super Highway
Powell’s Books
Recours au Poème
Shelf Awareness (Look for “The Writer’s Life” section in each issue.)
Studio One Reading Series
THEthe poetry blog | Reviews & Interviews
Three Guys, One Book
Total Tutor Author’s Corner on the Total Education Network
W³ Sidecar
Wag’s Revue features interviews in their issues
Zyzzyva

Lovely literary and art-related sites (journals, blogs, and the like):
Advice for Writers
American Fiction Notes
The Book Lady’s Blog
Bookalicious
BookHunch
Bookslut
Beeswax Magazine
Cerise Press
chaotic compendiums
The Elegant Variation
Eleven Eleven
Exterminating Angel Press
Gwarlingo
Hey Lady! Watcha Readin’?
I’m Booking It
largehearted boy
Maud Newton
Monday Night
My Perfect Pitch
The Rumpus
Salon.com | Books
She Reads
SpicyLetter
TheWriteDeal