I have my headphones on all day at work everyday so I have a ton of podcasts and I listen to audiobooks as well.
The non gaming ones I listen to are:
CNN News Update
The Digital Story (photography stuff)
Lonely Planet Travelcasts
The Naked Scientist (not what it sounds like, its a BBC radio show)
NBC Meet the Press
Nightline
NPR: Wait Wait Don't Tell me! (current events quiz show, fun!)
Slate Explainer Podcast (they answer questions about the news like why british soldiers don't have to shave their heads)
Slate Magazine Daily Podcast (one article from slate mon-thursday and then a political discussion on fridays)
This Week in Law
This Week in Photography
Tech podcasts:
Cranky Geeks
The Tech guy
Mac Cast
Security Now!
MacBreak Weekly
This Week in Tech
The Daily GizWiz
Geekbrief TV (Cali Lewis is totally hot)
Tekzilla
Internet/Culture
Mahalo Daily (Ditto for Veronica Belmont)
NPR: Fresh Air
The Totally Rad Show (they cover gaming, movies, comics, etc)
Diggnation
Itunes New Music Tuesday
net@night
This American Life
Gaming Stuff:
CAGcast
CAGforeplay
1up Radio (EGM Live, 1up Yours, GFW etc) GFW is particularly good
Three Red Lights (IGN's 360 podcast, imho the only ign podcast worth listening to)
Joystiq Podcast
PC Gamer Podcast
Major Nelson
Player One Podcast