What podcast apps include variable speed playback?

If you'll pardon the "non-answer"...

I wrote Taffy to act as a proxy between your Android device and the podcast provider. It speeds up the podcast before your podcatcher downloads it. There are several undesirable aspects to this approach (hosting not the least among them, nor inability to change playback speed during playback), but I use it every day to listen to several podcasts on my Droid at faster speeds.

Here's to it becoming obselete soon.

My Droid uses BeyondPod, pointed to Taffy podcast feeds, to automatically download all of my podcasts straight to my handset during pre-dawn hours. I wake every morning (and have for months -- Taffy's a pain to setup, but it's pretty smooth sailing from there) to no-hassle, "sped-up" podcasts ready for my commute.

as of today, there is no android application that supports podcast management and variable speed playback.

Astro Player Beta will go up to 2x I think. Works pretty well.

Have you tried doubleTwist? I have been enjoying this music app very much.