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.
Little Gold Men (Vanity Fair): this podcast offers unparalleled industry insights, criticism and gossip about Hollywood's biggest releases, as well as news from the frontlines of key awards ceremonies and festivals. The hosts are witty, speculation is juicy and analysis is mostly sharp. It's also lovely to see an incorporation of the TV landscape into the discussion.
Happy Sad Confused (MTV): the sheer calibre of talent available on this podcast is impressive, from Daisy Ridley of Star Wars fame to Woody Allen via Oscar Isaac. I love how Josh Horowitz reaches far into the guests' careers to illuminate their present work.
ID10T with Chris Hardwick (Art19): it's a real shame Hardwick's career has come into shade due to recent allegations of sexual assault, as his podcast is well-informed, funny and casually charming. He makes huge stars like Antonio Banderas and Jamie Lee Curtis feel comfortable and speak candidly.
Fantastic Geeks and Where to Find Them: this is a guilty pleasure. The hosts are lovely (some would say annoying) and conjure up that feeling of excitement when watching Star Wars for the first time. The show is obviously very Potter-heavy, however their discussions range everything from Lord of the Rings to the Avengers. A real must for geeks.