Superego, improv comedy (with guests) that's then edited down to the best bits. Sometimes unnecessarily scatological, but I don't see that being much of a hurdle for Whitechapelers.
Sadly, because my job involves listening to people talk and having to think about how to rephrase in another language in what is never quite enough space, I really don't have much time to listen to podcasts, but during a recent dip in workflow, I listened through the entire second season of Superego and was greatly amused.
One music one I really enjoy--The Beat Bee Sessions If you're a fan of jazz, hip-hop, electronica, and...well, anything really, there's at least one song each 'cast that might interest you.
It's a weekly podcast detailing the entire history of Rome, "beginning with Aeneas's arrival in Italy and ending (someday) with the exile of Romulus Augustulus, last Emperor of the Western Roman Empire." The early episodes were 10 minute chunks with the more recent ones reaching the 20 minute mark. Found this a month back and being a Roman history nut I hear the entire archives in one long night. It's well written, funny, humane and impressive. This and Hardcore History (especially the Punic wars episodes) really got me addicted to podcasts.
Just started is How the Other Half Lives which will have people do 30 minutes of unmixed music that isn't about showing off who has the most obscure record collection, and just play things they really like. Even Bronski Beat. It's updated weekly by the look of things
Doug Henwood's Behind The News is an incisive, wry and eclectic show on economics and politics. He focuses on the US but keeps a global perspective. The interviews are great and the music selections inspired. The show broadcasts on Pacifica radio in the States but I've linked to the podcast on his website. It is arguable that Doug coined the phrase "Americans are using their homes as ATM machines."
I contribute to a weekly radio show on secular humanism, broadcast on WBAI (again, Pacifica) in NYC: Equal Time For Freethought. A team of hosts rotate each week, so I host about once a month. There's a huge archive online and our most recent broadcasts were on the Texas textbook debacle. Secular humanism is the focus but we don't spend our half hour just shouting at Teh God Warriorz. We interview guests who are researching and promoting subjects that reflect the values important to a freethought society.
And for global news with a street view, you can't beat Free Speech Radio News -- broadcasting five times a week!