EasySync

Synchronize images, videos, audio and downloads with your WebDAV server.
Synchronize in both directions.
Secure and open source.

A free trial is available, search for "EasySync trial" in the playstore.

What is synchronized:
* Images, video, screenshots that are displayed in your gallery will be synchronized. This includes images and videos in DCIM/, Pictures/, Movies/ and Download/
* If they are only available in a specific app but not in gallery, they won't be synchronized
* Please note that messaging apps (messages, whatsapp, signal, etc.) generally offer you the choice between saving files in your gallery (in such case they will be synchronized) or not
* All audio and music files that are visible in Alarms/, Audiobooks/, Music/, Notifications/, Podcasts/, Ringtones/ and Recordings/ will be synchronized
* Beware that google's own voice recorder stores its files privately and offer its own cloud synchronization. They won't be synchronized by EasySync
* All downloaded files in Download/ will be synchronized, whether they are pdf, epubs, documents, images, etc.

What is not synchronized:
Everything not explicitly stated above is not synchronized. More specifically:
* Applications
* Applications data/state
* Messages
* Contacts
* Games progress
* Wifi or network parameters
* Android settings and phone customization

Files on SD Card are NOT synced