I recommand the one from the Stanford Large Network Dataset Collection project http://snap.stanford.edu/data/

http://snap.stanford.edu/data/index.html

http://precog.iiitd.edu.in/resources.html

http://networkrepository.com

https://icon.colorado.edu/#!/

I assume, you can use the Facebook API to extract interactions and relationships https://developers.facebook.com/docs/graph-api.

Here are some datasets for the detection of bots, fake accounts etc

They contain tweets that can be used to construct a social graph or URL similarity graph. You can ignore the bot files if you want and use only the valid profiles.

https://botometer.iuni.iu.edu/bot-repository/datasets.html