If you are a Superman fan, there is a whole segment of podcasts under the "Superman Podcast Network" banner. For fans of the John Byrne/Post-Crisis Superman, "From Crisis to Crisis: A Superman Podcast" details the version of Superman from "Man of Steel" mini-series to just before "Infinite Crisis." Great show, and they just finished covering the "Death and Return of Superman" saga about a month ago. Also, for fans of the New 52, "The New 52 Adventures of Superman" has been covering almost all appearances of the New 52 Superman, just recently catching up to last months comics.
Michael Bailey (co-host of From Crisis to Crisis) has a 125+episode podcast "Views from the Longbox" which covers all aspects of comics: DC, Marvel, the films, cartoons, etc. Great, thou sporadic, show. Also, "Hey Kids, Comics" is a good one too from Andrew and Micheal Leyland, a father and son show, covering all aspects of comics as well. A listen to any of these will lead you to plenty more, as these mentioned are affiliated with one another and air promos for each other during the shows. with a host more that I have