@alwaysbebombing: You need a podcasts app, then you need to get the RSS feed for the podcast you want, this can be found on the podcast's page. Take that URL, and stick it in the search field or add podcast field in the app. However, it has to be inputted in an exact way;
@onlykris: The two I use are Giant Bomb Season Pass and Giant Bomb Plus. The former works flawlessly as far as I'm aware, but Giant Bomb Plus has a bunch of bugs that limit me from using it much at all, but it does have the playlist feature you might like.