1)  on retail websites

online sales advisement via conversation as you suggest

recommendation of things you might want to buy based on your profile and
past purchases

automatically figuring out what you're looking for on the site based on your
click
patterns and browsing history so far

automatic targeting of ads based on analysis of the customer

automatic assembly of complex products based on customer needs (e.g.
computers with
varying types of components & peripherals)

automatic tailoring of the copy describing products to the interests &
reading level of
the viewer

etc.

2)  in the word processor

help

grammar check

fact check

reasonableness and logic check

document summary

finding resources relevant to what you're writing about (on the web or on
your own hard drive)

composing a document from a summary -- you tell it "I want to write a letter
to John Green
asking when the contract will be done" and it figures out who John Green is
and composes a letter
in the appropriate style)

3)  in the spreadsheet

accurate prediction of quantities represented

automatic updating of spreadsheet information based on data it can find (in
the hard drive
or on the intranet, etc.)

drawing text information into predictions and categorizations of quantities
in the spreadsheet

asking the user questions the answers to which will affect the predictions

there is a lot more here, but it gets technical... e.g. deriving rules
relating the various
quantities studied in the spreadsheet ...

4) OS level

The windows Find feature should be intelligent search, like the Mac's
Sherlock but smarter

The OS should intelligently figure out what program to associate with a file
instead of making
the association solely based on the file extension

5) e-mail

your e-mail should be automatically prioritized for you.  spam should be
pushed to a spam
directory, most crucial things should be pushed to the front

direct mail marketing can actually be done based on intelligent targeting,
to reduce the
spamminess of it (i'm meeting in a couple weeks with people who want to use
webmind for this)

6)  web search

should be intelligent conversation based, much better than askjeeves.com

we can completely categorize the web, not just parts of it as current
category systems do

we can produce a customized web newspaper for each person each day
 

7) enterprise software

integrated knowledge management software for the enterprise, allowing
flexible access of
information across all aspects of the business (Lisa can send you a long
article on Enterprise Resource Portals which goes into this stuff, i can't seem to find
it)

8) business, manufacturing

Demand planning -- businesses need to predict demand for various products

supply chain management-- they need to predict supply and demand of various
products along the supply chain so as to figure out what suppliers to use at
each stage and what their costs will be
 

None of these products except maybe conversation based information retrieval
will be called
Webmind -- Webmind is the intelligence inside various products, is the
idea...