The Brookings Institution:
Brookings Cafeteria
Brookings Events
https://www.brookings.edu/podcasts/
The Council on Foreign Relations:
The World Next week
The President’s Inbox
CFR Events
http://www.cfr.org/publication/by_typ…
The Center for Strategic and International Studies:
CSIS Podcast
CSIS Events
https://www.csis.org/podcasts
The CATO Institute:
Daily Podcast
Events Podcast
https://www.cato.org/multimedia/cato-…
American Enterprise Institute:
Banter Podcast
https://www.aei.org/feature/banter/
Politico:
(not a think tank but was mentioned in the video)
Nerdcast
Global Politico
Off Message
http://www.politico.com/podcasts