Interviews with current and past editors, as well as documetnaries examining various aspects and techniques of film editing. A must for all editors. Hosted by Gordon Burkell, a Toronto based film editor and university film editing instructor and founder of Art of the Guillotine.
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Workflow Junkies is the first podcast dedicated solely to production workflow for video, film and the web. From acquisition, capture and editing to compression export and distribution, Workflow Junkies introduces you to creative professionals, insiders and tech heads with new and proven techniques and tools to help improve the way you do what you do. If you cut Avid, Final Cut Pro, Premiere, Edius or Vegas there’s something for you to learn from Workflow Junkies, the podcast for creative pros by creative pros.
Check it out at: http://www.workflowjunkies.com
Or go to itunes link

Little Frog in HD now has a podcast titled The Edit Bay. In it Shane Ross gives stories about his work and how he's gotten to where he is today.
Check it out at: http://lfhd.net/category/podcast/
Or go to itunes link

A round table post production talk show that discuss' various issues thateditors may encounter.
Check it out at: http://thatpostshow.com/

Check out Avid's new podcast/screencast. It's not part of the official Avid site but it's great!
Check it out at: http://avidscreencast.com/

A great podcast about film editing, includes interviews with editors and assistants. The host of this site also posts blogs so take a look around while on the site. The host is Patrick J. Don Vito.
Check it out at: http://www.filmediting.com/film/Podcast/Podcast.html

A podcast put on by AVID covering a variety of topics. Including interviews with pros, stories, tricks and technical information.
Check it out at: http://community.avid.com/blogs/theroughcut/default.aspx

American Cinema Editors Podcast interviews many of the great film editors of our time. Listen and enjoy!
Check it out at: http://www.ace-filmeditors.org/newace/audio.html