I just received my Fairphone 2, had it updated to the newest version and it had ringtones. Next step was to install Fairphone Open and there are no ringtones. Settings are asking if I want to perform the action via Amaze or “Medienspeicher”, folder /sdcard/Alamrs, Notifications, Ringtones are all empty.
@terson, are you also using Fairphone Open?
Sorry, forget that one. I picked “Medienspeicher” and got the list of tones as with the standard Android system. All well for me. Apperently they are stored in /system/media/audio/ringtones.