From the Store listing:
Browse, explore and manage files of any Bluetooth ready device, using File Transfer Profile (FTP), Object Push Profile (OPP) and Phone Book Access Profile (PBAP). Support of double screen file management and drag&drop between managers.
BlueFTP is also a powerful file manager.
Some of the promo screens of BlueFTP in action:
Clean and clear file/object management - with landscape mode doing a better two-pane job (pro tip!)
Copying a couple of photo files from a connected phone; (right) browsing possible connections/devices.
You can grab this in the Store here.