Calc: By far the component I use the most. I use this regularly.
Mostly small stuff, household finance spreadsheets, usage stats,
bank statements, that sort of thing.
Writer: The second most used, although I seldom use this.
Impress: I have used this on a couple of occasions.
Base: I've only ever opened it for a quick look around.
Being a programmer, I prefer to write my own. It may be past
prejudice from the likes of Access, but I just can't feel
comfortable using something like Base for anything; if the
requirement is small, Base would be too much overhead, and if the
requirement is large, then a custom application on top of a
proper database would be a far better solution, more robust, more
secure, more customised...
Draw: I've only ever opened it for a quick look around.
I use other, custom drawing software when I need to edit stuff,
like the Gimp, or Inkscape. Again, probably more just my personal
prejudices, but I just don't view an office suit as a graphics
package.
Paul