I’m not sure how much overlap G+G and the Cheevo/Trophy hunting community has but they is a sizeable subset of gamers that get a lot of enjoyment out of collecting and sharing them.
It can lead to interesting discussion and discovering of new cool games.
My trophy hunting groups are also the main reason I still have a facebook and if I could any reason to delete that trash, I’d, happily, take it.
I don’t know how active it would be but a group for people to share the Achievements/Trophies from the various platforms that support them could be cool.