When I was at work, I listened to a lot of podcasts to damp down noise from the floor while doing not-too-intense work. At home, I find time here and there — while cooking, sometimes while the kids play if the kids are off doing their own thing, while on the bus to grab a car… it's a small luxury to let a chunk of consciousness run around with smart, different folks across Internet audio.
Here is what I manage to listen to regularly:
Spark from CBC Radio: Nora Young has the best radio voice among living radio hosts, in my opinion (Lister Sinclair gets best ever). The podcast is mostly about technology, but in an expansive, humane way that often focused on usability, accessibility and the creative uses people come up with for existing technologies.
Death, Sex, Money from WNYC is a show of long-form interviews touching on the title topics (usually all three of them) with people who have lived through some interesting stuff.
Planet Money from NPR is a show about economics for laypeople — sometimes they do a show on explaining a hyped topic (What is a collateralized debt obligation? What just happened to the Chinese markets?). Sometimes they look at something mundane and explain the minutiae (t-shirt manufacturing, raisins) and sometimes they follow a person's cunning business plan with an eye to what economic mechanisms are in play underneath (a y taxi medallion empire, for instance).
More or Less from BBC Radio 4 is a show of statistical fact-checking: from political claims to memes about toxic levels of banana consumption (hint: absent a health condition that makes you super-sensitive, you will have trouble keeping down enough bananas to kill you via potassium or radiation poisoning). It's funny, chatty and a neat way to think about all steps of the statistical process while finding out what's preoccupying Brits who listen to or make geeky podcasts.
I also listen to and enjoy Savage Love (US politics and relationship advice), Polyamory Weekly (charmingly indie relationships and media watching), Radiolab (lovingly crafted, humane stories touching on science) and Dan Carlin's Hardcore History (passionate lectures on a huge range of history, mostly military and political, with lots of quotes from original sources and psychological guesswork — and a voice and delivery that I like but is hard to be neutral on).
Any suggestions I might like, especially in the 15–30 minute range?