Zippem

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.

• Go to Tools -> Zippem
• Set the source folder and target file
• Zippem!

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: WP Easy Uploader.