Most free podcast android apps are pretty terrible, but PocketCast (paid) is really awesome (at least it have a great UI). I don't even listen to podcast that often, but I bought it without hesitation.
But it's true that there's a problem with podcast, so take my +1.
I've been using BeyondPod for a couple years now. It has a paid and free one and the free one has suited my needs, but its a relatively cheap upgrade for some nice features.
But it's true that there's a problem with podcast, so take my +1.