Assuming you are working with a POP3/IMAP account, you will need to copy the
*.PST file(s) off the broken computer to your good one. Since you didn't
mention what operating system you where using, I can give you a rough idea
on where to look under Windows 2000/XP.
\documents and settings\<userid>\local settings\application
data\microsoft\outlook
and/or
\documents and settings\<userid>\application data\microsoft\outlook
If you back the *.PST file(s) to a CD, make sure you don't burn the CD at
anything faster than 4x. Take CD to new computer and copy the *.PST file
back to the hard drive (e.g. My Documents). Make sure the read-only
attribute is removed. Configure Outlook to connect to your ISP and to get
at the old PST files, use File > Open > Outlook Data File (or Personal
Folders depending on version of Outlook in use).