Similar story. I contributed to This American Life monthly for awhile. I had set it up online. I wanted to switch credit cards and could find no way to do it (they had redesigned their website). I couldn't even find a number to call. Sent some random emails with no response. I think I ended up changing my old credit card number and I'm now very, very skeptical about reoccurring payments.

On the other hand, it's quite well-known how easy it is to stop/start a Netflix subscription.