I recently bought a WD MyCloud Mirror (4 TB in Raid 1 modem for €400). Works very well, and looks nice in the living room too. You can enable remote ssh access, and I can use rsync over ssh to backup my data. Or you can access it as a network drive in Windows. Then I can connect an external USB drive for a manual off-site backup. (It has options to backup to cloud storage, if you don't mind trusting Dropbox or Google with your unencrypted data.)
There's Android and iThing apps to upload and download pictures over the 'net, but I've configured my firewall to disable all net access for the box.
Only sore spot is that its DLNA server sucks. It insists on transcoding all media to a format that my BDP does not understand. You can change the configuration to "generic media server", and then it works, but the setting reverts to "broken" after every reboot, i.e., every night :-(