So I'm only just getting into listening to podcasts recently. Here are some that I think are particularly good...
This American LifeI'm probably the last person in the world to get on this bandwagon, but this show is pretty much the best thing ever, right? The amount of effort that goes into each show, the level of interest they manage to get out of even the most unpromising subject - this is a unique and infectious approach to journalism/real-life reporting.
http://www.thisamericanlife.org/podcastThe MothA show featuring true-life stories told live in front of an audience, some of which get used on This American Life. The quality varies depending on the speaker, but more often than not they'll be really fascinating.
http://www.themoth.org/podcastThe BugleA satirical comedy show riffing on the week's news, hosted by John Oliver from The Daily Show and his old writing partner Andy Zaltzman. Apart from anything I love the relationship and ridiculous banter between these guys.
http://itunes.apple.com/us/podcast/the-bugle-audio-newspaper/id265799883Savage LoveA sex and relationship advice show from Dan Savage, who has really great, often eye-opening, opinions on sexuality and the politics of romance.
http://podcasts.thestranger.com/savagelove/The Sound of Young AmericaA show featuring interviews with good guests (e.g.: Bob Odenkirk, Steve Albini, Louis C.K, The Hold Steady) being asked better questions than usual.
http://www.maximumfun.org/tags/podcast