This is a great all in one list of pinball related podcasts (includes links to their sites and RSS links for easy setup in an pod catcher app) : http://pinballarcadefans.com/showthread.php/3989-Pinball-podcasts
I use BeyondPod for Android , very easy to organize and sync's all podcast episode listening across devices with Feedly integration.
The podcasts I can't miss lately (they are 100% related to pinball):
The Pinball Podcast
Coast 2 Coast Pinball (now that the host has I think realized that any game post EM is "Solid State" I can enjoy the shows much more)
A must listen inactive / legacy podcast series:
TOPcast
A podcast that I can't listen to more than a few minutes, i guess it's an acquired taste:
The Spooky Pinball Podcast
A Podcast i'll listen to but only fast forwarding thru the non pinball content:
The Gameroom Junkies
I want to get into this podcast but it's really only audio only from videos that by the time the podcast is released i've already seen and heard on YouTube making this one redundant (though I appreciate the high quality audio, if he would put in more of his own opinions / news it would improve greatly) :
The Pinball Soul Podcast