imapsync - Console-based utility for migrating IMAP mailboxes.
MozBackup - Backup tool for Firefox and Thunderbird
isync (mbsync) - mbsync is a command line application which synchronizes mailboxes.
Clumio - Clumio is first-in-class cloud backup optimization and visualization engine that provides a chance to top leading business organizations or enterprises to protect, delete and restore their precious data in no time.
MigrateCloudData IMAP Mail Backup Tool - A trusted software with better designs and functions to perform the backup and migration of IMAP emails.
MySQLDumper - MySQLDumper is a PHP and Perl based tool for backing up MySQL databases.