Hello Mike,

I can't give you an exact code for this because this is not covered in our support policy but I could only help you with some ideas.

1. Create a new badge rule. (Refer to the existing rules on how to create one in /administrator/components/com_easysocial/defaults). The file names are .badge or you can refer to our docs here, http://docs.stackideas.com/developers/achievements/achievements

2. You need to ride on some hooks or write a system plugin that would check for the user's anniversary.