Got a ton of podcasts in heavy rotation, the only "mainstream" ones being The Right Time with Bomani Jones, the aforementioned Sports? with Katie Nolan, Cheap Heat and The Masked Man Show. I also listen to Three Guys On and Misandry with Marcia and Rae, which are ostensibly current events podcasts, hosted by comedians, the latter placing a heavy emphasis on topics that would generally be considered feminist (except that they don't really come out often enough to count as 'current': 3GO comes out weekly, and Misandry is more bi-monthly-ish).
Most of the rest of the podcasts I listen to tend to be of the "blackety-black" variety: The Black Guy Who Tips, The Interracial Jawn, most of the shows on the MTR Network, Black Astronauts, Where's My 40 Acres?, The Spann Report, Project Fandom... all shows that discuss current events, pop culture, TV, movies, music, sports, etc., but exclusively from the black perspective.
Also, since they don't talk current events (and are therefore not time-sensitive), I stockpile episodes of Jay and Miles X-Plain the X-Men and The Playable Characters Podcast, for when the other shows go on hiatus/holiday.