Zimbra is used as the email system for a university I attended and it is a terrible, buggy pos.
"Gmail killer" is wonderfully hyperbolic, but in its space, it's really not a bad option. Especially when measured against other self-hosted webmail + calendaring solutions. Of which there are two: Horde and Outlook Web Access.
I'm personally pulling for Bongo (http://bongo-project.org/), but I think it's more likely that this space will be ceded to Google Apps.