I have E-mail accounts, one is Exchange and one is POP/SMTP. I have
18 rules seach for words in the subject (or from), move the message to
a specified folder, and stops processing more rules. This has worked
great for 2 years.

I then added a client-only rule that runs when a message arrives,
through a specified e-mail account, moves it to a specified folder,
and stops processing more rules. The problem with this rule is that
unlike the other rules in that this specific email account rule
prevents any following rules from executing (when the rule's criteria
did not match the message).

The desired behavior is exactly how the other rules perform. If the
message matches the rules criteria, the rule is carried out and no
more rules are processed. If the message does not match the criteria,
it moves on to the next rule in the list.

I'm using Outlook 2003 (11.8118.8107) SP2.