Since a few days, I regularly get emails about appointments, sent out via Lotus Notes. They contain attached iCalendar files, so I began looking around and found out that
Thunderbird works pretty well with
Mozilla Calendar, which completely integrates itself, similar to the functionality MS Outlook provides, and definitely enough for me. The only thing that I still need to try out is how group calendars can be realized, but since we don't use this, I will hardly have the possibility to do that.
Update: just to clarify this, "business solution" means to me that it is suitable to business requirements, i.e. sane people have to interact with Lotus-Notes- or Outlook-using people in a very management-centric environment. It doesn't mean that I will be transformed into such a person.