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I agree with Jan. The Nirsoft utility is the bees knees!
If the (correct) passwords are stored on your system you can read them out using a password viewer e.g. Mail PassView
http://www.nirsoft.net/utils/mailpv.html
If your local computer is asking you for the password (they are not stored) then you have to recover then through whatever method your email host is providing.
Do you mean passwords for the actual email accounts?