MyPodcasts

Though I cannot see an option to sync across devices; would purchase if this were an option!

Not sure if the ads disappear with premium. App works good, notifications for new podcasts is good.

Not a surprise from the same developer who put up Onecast, it's funny how Microsoft doesn't even have an official podcasts app. But the Mypodcasts app saves the day with both great design and customization features. Good job Daniel