I was looking to see what my next level of privileges was, but could not find the Privileges page linked from anywhere (I had to resort to a Google search)
Have I missed it, or is it truly missing?
If you hover the mouse pointer over your name, a menu pops up; one of the items on that menu is a link to the Privileges page. Not exactly intuitive, but yes, it's still present. Note that this only works on the Main site, not the Meta site. If you try it right after you read this answer, it won't work!
You'll note that the URL for you is as follows:
You can plug in anyone's account number on the main site to see the privileges they are currently allowed due to reputation.