You Must Remember This (Slate): Karina Longworth's now-legendary podcast investigates the myths, depths and struggles of Classic and New Hollywood. Her series on Kenneth Anger is especially noteworthy. She is such a talented narrator, researcher and all-round storyteller. This is likely to stay at #1 for a while.
Team Deakins: a legendary cinematographer (Roger Deakins) interviews equally legendary professionals. What more do you want? Learn everything from working with actions sequences, to what a DIT actually does as well as shooting on film. It's a really great school for the budding filmmaker.
Happy Sad Confused (MTV): the sheer calibre of talent available on this podcast is impressive, from Daisy Ridley to David Harbour. I love how Josh Horowitz reaches far into the guests' careers to illuminate their present work. He does so with humour, sass and candour.
The A.V. Club Presents: a solid critic-centric podcast, with weekly reviews and themed episodes. The hosts are lovely and play well off each other. This is the only film review podcast I listen to on a regular basis.