For those NOT trying to duck politics, here are some new recommendations (I've made plenty in the past).
For a fairly whimsical, yet newsy, take on Impeachment, try Buzzfeed's Impeachment Today: https://www.iheart.com/podcast/1119-impeachment-today-51569975/
It certainly won't claim to not take a side (guess which?) but as these things go is fairly entertaining.
There's also NPR/WNYC's "Impeachment: A Daily Podcast", presented by well known talk radio host Brian Lehrer: https://www.npr.org/podcasts/767280204/impeachment-a-daily-podcast
It's less whimsical, more straight newsy, but gets major guests (the same kind who go on the news networks, except this is longer and more in depth).
Less centered on the Impeachment, but still arguably political, is The New York Times' podcast, "The Argument" It's basically three NYT opinion columnists, who'd I'd say range from far left to center left to medium right, debating all kinds of stuff. I'm calling the classic conservative on the panel "medium right" just because while in other days he'd be more identifiable as far right, he seems not to be totally in line with the current administration, so... medium right (a little to the right of a genuine centrist Republican, if any still existed): https://www.stitcher.com/podcast/the-new-york-times/the-argument