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imapsync - Console-based utility for migrating IMAP mailboxes.
OfflineIMAP - OfflineImap synchronizes email between an IMAP server and a MailDir or between two IMAP servers.
VaultMe - Automagically copy email, contacts, calendars, and files from school, personal, or business accounts. Quick, precise, and ultra-secure. Try it now!
Fetchmail - The Fetchmail Project
audriga Email and Groupware migration - Easily migrate your email, contacts, calendar items and tasks to your new provider or server. No software installation is required.
isync (mbsync) - mbsync is a command line application which synchronizes mailboxes.