Researching your genealogy on Ancestry.com and embellishing your lineage with all sorts of famous connections which may or may not be accurate.
When I discovered on Ancestry.com that I was a direct descendant of English and Scottish kings, I immediately published my Famfiction on all my social media accounts.
Someone (mostly people in Anonymous) that seeks fame and the spotlight to feed their pathetic ego and/or fill their empty pockets. A famefag often tells some type of smockery to get that fame. The Dragons Den is one of the most obvious examples of famefags on Twitter.