One of the most valuable things an academic can do requires no permission from your supervisor. While some departments and groups perform the activity formally, many faculty do it on their own. It should not be a solo activity, though. Strength comes from input from others.
I am talking about the CV review.
In The Ivory Tower, your CV is your life and the most important part of your promotion and tenure packet.
Hosting a CV review is pretty simple. I have a guest post up over at Tenure She Wrote detailing how you can make this happen. When you're ready to have your event, you can also download a CV review worksheet from the website for The Promotion Game.