Google rolled out Buzz recently and it’s started messing with my inbox (my Google profile). The first issue is that by default it puts an item in your Inbox every time someone comments on something you’ve posted or on something you’ve commented on. This item looks like a new email and I get an alert on my phone for new email. My group of friends is already used to commenting on Shared Items in Google Reader so I’ve been getting these emails all the time. I created the filter above in Gmail to take all of these items, which start with Buzz:, and tuck them away in the label ‘bz’ (‘Buzz’, like ‘Inbox’, is a reserved system label).
If you absolutely hate unread counts, you can go a little further. You have the option of hiding the Buzz label in Gmail’s Label settings. This will tuck it away next to Spam in the more labels drop down. That way you can check it at your leisure instead of being compelled by the unread count.
If you just want to turn Buzz off, you can find it at the bottom of Gmail.