I am using Google Apps for Email. Is there any way I can backup all the emails into another Gmail Account?
Please also let me know any alternative solution too.
For new incoming emails: In settings, Forwarding and POP/IMAP, add a forwarding address. Also, you may want to set a filter "is:spam" then "Never send it to Spam" to also forward all emails. ( I prefer to have all my emails backed up, and manually remove spam later.)
For exisiting emails, first, in Google Apps email account, in settings, Forwarding and POP/IMAP, "Enable POP for all mail". then import them into your backup gmail account using POP3 in settings, Accounts and Import, "Import mail and contacts"
Important: In your main account, remember to select option to leave existing emails in your main account(In POP Download:, "2. When messages are accessed with POP keep Mail's copy in the Inbox"), else the import will move all the emails into your backup account.
Also, this might help: Migrating Gmail account to new Google Apps email and leaving a copy behind