Copy/move/synch IMAP account

• isync - IMAP and MailDir mailbox synchronizer
• mailsync - Synchronize IMAP mailboxes. Mailsync is a way of keeping a collection of mailboxes synchronized. The mailboxes may be on the local filesystem or on an IMAP server.
• offlineimap - IMAP/Maildir synchronization and reader support
  • Synchronize your mail using a completely safe and fault-tolerant algorithm.
• syncmaildir - Sync Mail Dir is a set of utilities to synchronize a pair of mailboxes

in Maildir format, using SSH to transfer data. It provides the smd-pull utility to pull changes made on the remote mailbox, smd-push to propagate local changes to the remote mailbox, and smd-loop to iterate push and pull in a timely way. Unlike OfflineIMAP, it does not require an IMAP server to be installed on the remote host

• vdirsyncer - Vdirsyncer synchronizes your calendars and addressbooks between two storages.

• IMAPFilter
• IMAP transfer tool
  • onyl between IMAP accounts. But it is possible to use one destination account to archive other accounts inside subfolders (see Imapsync issues and tips about archiving.