Here are the podcasts I listen to:
99% Invisible - covers a wide spectrum of interesting topics, mostly historical
All About Android - weekly Android news and app picks (TWiT network)
Android Central - weekly Android news and reviews
Android Police - weekly Android news and reviews (different people than above, slightly funnier group)
Car Talk - these are rebroadcasts of an old car call-in radio show on NPR, but still funny and interesting
Common Sense with Dan Carlin - Dan Carlin uses his knowledge of history and applies it to modern politics and other subjects
Dan Carlin's Hardcore History - in-depth examination of various historical subjects
Exponent - tech news analysis and discussion of the broader impacts of technology, featuring Ben Thompson (Stratechery) and James Allworth
The Fantasy Footballers - highly entertaining and informative fantasy football podcast
Fantasy Football Today - fantasy football news and advice
Food Programme - BBC podcast about food in the UK and throughout the world
Freakonomics Radio - NPR podcast on statistics/economics (in a very broad, non-technical sense) and how they apply to real life (looking at "unintended consequences" is probably the biggest theme of the show)
Fresh Air - one of the best interview shows, hosted by Terry Gross of NPR
Gastropod - the science and history of food
Hidden Brain - podcast exploring what I would call practical human pyschology (what motivates people, how we respond to various conditions and situations, etc).
How To Do Everything - two NPR podcasters tackle how to do random things that listeners ask for help with
Invisibilia - NPR podcast on a variety of interesting topics regarding human behavior
MacBreak Weekly - weekly Apple news (TWiT network)
Myths and Legends - topical podcast on various myths and legends from throughout the world and through history
No Agenda - deconstruction of news media with John C. Dvorak and Adam Curry
Planet Money - NPR podcast about the vagaries and hidden side of business and economics (usually high-level economics/macroeconomics, with more of a global focus but also national stories as well)
PC Perspective - computer hardware podcast hosted by Ryan Shrout with PCPer regular contributors... closest thing to AnandTech's
Radiolab - very broad and engaging NPR podcast that does a good job with sound production and weaving short interviews and narrative to draw you in
Science Friday - science news
Security Now - computer and tech security with Steve Gibson and Leo Laporte (TwiT network)
Stuff You Should Know - an "average Joe" look at and explanation of not just how things work, but broader topics as well (but usually framed as "How ____ Works" each episode)
Stuff You Missed in History Class - exploration of lesser known historical topics
The Cracked Podcast - if you are familiar with Cracked.com, it's hosted by a few of their writers, but they focus more on tropes of television and film (some of their episodes are repetitive, but they have some really good theories and deep dives into topics)
The Tech Guy - 2x weekend call-in show with Leo Laporte (TWiT network)
This American Life - another NPR thematic storytelling program done by a few journalists and hosted by Ira Glass
This Week in Google - podcast mainly about Google but also covering other online journalism and social media topics (TWiT network)
This Week in Law - podcast about the intersection of technology and law, hosted by lawyers... can be a little dry, sometimes (TWiT network)
This Week in Tech - weekly roundtable on tech news hosted by Leo Laporte with guest tech journalists (TWiT network)
Windows Weekly - Microsoft and Windows coverage, with Leo Laporte, Mary Jo Foley, and Paul Thurrott (TWiT network)
XDA Developer's Podcast - smartphone and mobile tech news and discussion (Android leaning obviously because it's XDA, but it's more general news than rooting and ROMing)