AndSMB

AndSMB is a SMB (Samba/CIFS) client for Android devices.

AndSMB is a SMB (Samba/CIFS) client for Android devices. It allows connecting to shared folders hosted on Windows or Samba servers over Wifi/3G/4G. It allows managing several connections with authentication. It comes with both a device file browser and a SMB file browser. It provides download and upload support for files and folders. You can rename, delete, get file details and create folders. It comes with share feature for gallery. Browse and transfer intents are available for third party applications. Root access is not needed.

Screenshots: 

Application Permissions:

Internet- Allows applications to open network sockets.

Write external storage- Allows an application to write to external storage

You can download at: http://apk.cuaban.net/detail/9108/AndSMB.html