Is there a way to configure apps to download automatically similar to podcasts in iTunes?
There currently isn't a way to do this. Especially with iCloud app downloading, I don't think there's any technical barrier to automatic updates. I think it's probably an intentional decision by Apple to keep app updates manual. That way, users are not surprised when an app suddenly changes UI or gains/loses features. However, I personally think the benefits of auto-updating are greater than the costs, especially for the users who never ever update apps.

I'd highly suggesting taking a trip to apple.com/feedback and submitting this as a feature request. I'd love to see this as a preference added in. Apple (surprisingly) does place a lot of stock in user feedback, so the more requests about a certain issue, the better.