What podcasts does everyone listens to beside the ones that are on Kieth's network?
I'm going to take your asking about podcasts literally as applying only to archived files available for download and/or stream-on-demand, and not to live, scheduled streams.
I listen a little to archived programs from WFMU, both their main channel and their alternate streams, plus their Free Music Archive that they're about to spin off to other auspices. I listen to WFMU so much live that I don't take many opportunities to listen on archive. However, I have been catching up on Muriel's Treasure, a calypso segment of Irwin's program from some years ago that I didn't have much chance to listen to then because of my schedule.
http://wfmu.org and navigate around their wide world of audio if you're interested. They also host or link to many podcasts that they don't stream on any schedule. although many of them have previously been on their air or stream schedule.
Even the programs I listen to on Keith's network I hardly ever listen to archives of on my demand.
Now that former WFMU phone-in talk program "The Aerial View" is being streamed on another former WFMUer's stream (The Hound), I may listen to it on archive because its regular 1st run & rerun times conflict w WFMU programs I like.
I sometimes listen to Reason magazine's SoundCloud when their links are announced in their Hit & Run blog.
I don't think Neil Cicierega's mashups come out w enough regularity to be considered a podcast on either SoundCloud or YouTube.
