People have requested it.
Andy Cheeseman has developed a plugin to do exactly that: http://wordpress.org/extend/plugins/recent-backups/
So maybe this can be closed. It's great to see independent developers create add-ons to BackUpWordPress to extend its functionality!
It is great to see, however I don't think that plugin actually works? Have you tried it?
I've tried it just on one site, with an admin user. It's really very simple: it just displays on the Dashboard a list of the latest backups and the size, which you can click to download, and has a button to do a fresh backup. I didn't experiment with different users (which is what seems to be intended by the feature request on the forums).
Sounds like Andy already has this covered.