CFR (the publishers of Foreign Affairs) have The World Next Week and The President's Inbox (and other more specialized ones)

Carnegie Endowment does The Carnegie Podcast

FT has World Weekly

BBC (e.g. Global News, Newshour, The Inquiry), NPR and PRI (e.g. America Abroad) all have a few to try out, and CSIS also have a good one. Universities like Oxford and Harvard have their own podcasts as well.

Try them all and pick your favourites. I just listen to CFR and Carnegie these days.