Unfortunately, I have no pets. So here's a stuffed dog that sits on top of the monitor to my Powermac 8500/G3. Its name is Fetch. Those who have ever used Mac OS pre-X may recall a popular FTP program (also known as Fetch) which had an icon that looked almost exactly like my stuffed dog.
I'd fret about whether stuffed animals are sufficient for fulfilling the Code of Conduct, but since I'm already in compliance, that seems counterproductive.
Update: Followup post here