Now that we have the global inbox I feel that we get far too many notifications on the family of sites.
I had 1 new comment today, and I got a Global Inbox notification, the envelope lit up, an I had the Top Bar notification. I don't think that we need the Top Bar notification on sites anymore.
Global Inbox: The 'inbox' tab located in the StackExchange drop down menu.
Envelope: The white envelope next to the user's name on each site.
Top Bar: The notification bar that appears on a site if you have new notifications.