Takashi Fujisaki

Tiny Backup is a WordPress plugin that allows you to create backup files simply and without any complicated configuration. 
You can create and download the bare minimum backup with just one click, stress-free.
Manual Backup
<ul>
<li>Database backup (SQL inside ZIP) with a single click</li>
<li>Files backup from your uploads folder — select specific subfolders as needed</li>
<li>Clear progress indicator during backup</li>
</ul>
Auto Backup (WP-Cron)
<ul>
<li>Set separate schedules for database and files backups (daily / weekly / monthly)</li>
<li>Configure time, day of week, or day of month for each schedule</li>
<li>Manage retention: set max generations for database and files independently</li>
<li>Email notifications on success and/or failure (sent to the admin email address)</li>
</ul>
General
<ul>
<li>No external services; everything runs on your server</li>
<li>Backup files are stored in <code>wp-content/tiny-backup</code></li>
</ul>
This plugin is ideal for small to medium sites that need simple, low-overhead backups.

Tiny Backup

Simple and minimal backup plugin for WordPress. Create database and files backups manually or automatically on a schedule.

Eliot Akira

Zippem zips a folder on your site and lets you download it: your media library complete with folder structure; theme files which you’ve edited; plugins folder; or simply all files on your site.
<ul>
<li>Go to Tools -> Zippem</li>
<li>Set the source folder and target file</li>
<li>Zippem!</li>
</ul>
By default, the target zip file is created under the uploads directory. There is also an option to delete the created file.
For upload and extraction of zip files, try: <a href="https://wordpress.org/plugins/wp-easy-uploader/" rel="ugc">WP Easy Uploader</a>.

Tiny Backup vs Zippem