Podcasts
Here's a collection of some podcasts that I consider to be high-quality.
policy and political commentary
A political pundit panel podcast where Justin Robert Young, Andrew Heaton, and Jennifer Briney discuss current topics with each other. It is a lot of good, respectful discussion between people who don't share the same political affiliations.
Andrew Heaton's podcast where he approaches politics and policy issues from a systems-thinker approach. Very expository, and his "monologue" episodes are almost always fantastic.
Justin Robert Young breaks down the raw political strategies and interpersonal dynamics of notable US (and sometimes international) figures. He goes really in-depth with his analysis and makes compelling observations.
Jen Briney reads the actual, honest-to-goodness bills and listens to hearings that are relevant for your understanding of US politics and breaks them down for your and my benefit. She also likes to bash on Republicans a lot if you're into that sort of thing.