In addition to today's update to OS X Mavericks, Apple also today released an update to iTunes. Bringing the music/movies/tv/apps/syncing app to version 11.2 is a host of improvements for podcast listeners.
The podcasts section on iTunes now includes an "All Unplayed" tab that, well, displays all of your unplayed podcasts. There's also a new Feed tab that allows users to browse podcast episodes that are available for downloading or streaming. Additionally, you can now save your favorite podcast episodes onto your computer, and can have episodes be automatically deleted after you're done listening to them.
Speaking of podcasts, if you aren't already, you should be listening to the multitude of Mobile Nations podcasts. They're good — we should know, we make them.
You can grab the iTunes 11.2 update off of the Mac App Store now.