Installer options for remapping caps lock, like Google did with its ChromeOS laptops. I use it as an easy-to-reach control key; other people I know turn it into another super for easy window management or an escape key for vim. Useful functions for the average grandma might include "search the web", "open gnome do", or "open Unity's 'everything on the computer' page".
Include KeePassX in Ubuntu, provide solid integration for it (possibly even with Ubuntu One), and present it to the user on installation. Encourage users to use it to create strong passwords and to maintain separate passwords for every service and website.
====
I use Ubuntu 10.10 for most of my real work. I'm a computer science student, so I do a lot of programming, answer some email, surf the web, and spend a ton of time reading and writing papers.