I feel that pAIs should be the perfect secretary, keeping out an ear and eye for anything you've missed as well as acting like a super secretary. They should be able to listen/speak over encrypted channels (if an encryption key is inserted maybe?) and they should be able to access the power net, or modify medical/security records.
Handy stuff, you know?
It'd be nice if they could read the newscaster, and take photographs and the like.
Maybe the ability to move and hide under tables or items in mobile form, to act as a spy for the Detective or whomever. With a universal recorder to boot.
There are some bugs. They are deaf when inserted into a PDA or backpack, they cannot examine anybody ever, and do not see attack logs.