I started listening to podcasts when I gave up listening to the news. Here I collect sources that might be worth exploring.
I Have Enjoyed
In Our Time 
with Melvyn Bragg on BBC Radio 4.
Wikipedia Weekly about the site, foundation and projects.
Science Magazine weekly authors interviewed.
Nature weekly news and interviews.
I Might Enjoy
Distillations by the Chemical Heritage Foundation.
Air and Space Museum video webcast archive.
99% invisible.
snap judgement.