Quick to draw! The Reeder app for iPhone current does not support Feedly or Feed Wrangler yet, but an update has been submitted to Apple and if all goes well, it should be live very soon.
Update: is now live.
One of the best RSS Reader clients and even though Google Reader may be shutting down, the developer has ensured that Reeder will not die with it. The iPhone app has added support for multiple Feedly, Feed Wrangler, Feedbin, and Fever account syncing, as well as local/standalone RSS capabilities.
Silvio Rizzi also has Reeder (iTunes Link) for the iPad in the iTunes App Store and Reeder for the Mac in the Mac App Store for FREE (regularly $4.99) for a limited time. They currently only support Google Reader, which will be shutting down as of July 1. Major updates to these apps will be released sometime in the near future.