Econ Technologies has released InterConneX for iPad, a file management and sharing app that wants to be the destination for your files on the iPad. You can choose to keep the Sharespaces, or folders, private, or you can make them public to be shared with other InterConnex users.
The app also allows you to share with other iPads running InterConneX, as well as Macs running Econ's ChronoSync and ChronoAgent. This is all done without the use of cloud storage. InterConneX supports sharing over both Wi-Fi networks as well as Bluetooth, and versions for both iPhone and Mac are currently in development. Grab InterConnex for iPad for free in the App Store.