@bard91 Revolutions and The History of Rome by Mike Duncan are both excellent and informative podcasts, if a little dry. (and History of Rome is hampered by audio issues in many of the early podcasts).
The History of China is in the same vein, but has SO MANY ADVERTISEMENTS.
In Our Time, BBC Radio 4's history podcast, is a great roundtable discussion of historical topics, but every episode feels rushed, like they only have the studio booked for an hour and everyone needs to get their points in as quickly as possible.