We've recently moved into Google's fabulicious Chicago office and brought with us our remaining stock of FeedBurner stickers and buttons. If you are interested in procuring these free delights, please send a self-addressed stamped envelope (or international reply coupon) to our new mailing address. This offer is good until we run out of stickers and/or buttons.

Google
c/o I Want A FeedBurner Sticker!
20 West Kinzie Street
9th floor
Chicago, IL 60610
USA
Here are a few answers to some lingering questions from the original thread:
Can you ship my swag overseas?
We'll send your sticker to the moon if the postage is correct. But to answer the question, yes. We are able to send stickers overseas and can report several successful exchanges from Italy, Malaysia and Japan. Not a peep yet from Reykjavik, but we're cautiously optimistic.
Why don't you save yourselves the hassle and put this stuff on one of those fancy web-based swag fulfillment sites?
What can we say, we're control freaks when it comes to delivering the goods. Besides, we like receiving your cards and letters and save them for posterity. Offline marketing continueth!
What's the postage for [insert your country here]?
Unfortunately, we don't scale well, so you're going to have to figure this one out on your own. A few helpful commenters suggested stamps.com as a resource for calculating U.S. postage. You can also use this postage rate calculator. The weight of an average FeedBurner sticker package is approximately 0.3 oz, based on a standard-sized envelope. The number of FeedBurner stickers that can fit on the head of a pin is still hotly debated.
Why is this a limited offer?
Supplies are, sadly, limited. Should the public start demanding embroidered beanies or highball cozies en masse, we'll talk again.
Keep those flames a burnin'!