Originally from a TV movie called "Billionaire Boys Club" adapted by a group of three young men in Vineland, New Jersey as a moniker for their small group friends.
In this case, BBC means "Bond Boys Club". The reason the original members of the BBC used the association with Bond is: James Bond is the ultimate at getting out of trouble, just like the members of the BBC.
Original members include:
William C. O'Neill
Additional Sub-members included:
Bradford P. Stadler
Those who thought they were BBC but never were:
"What's BBC mean? If I told you, I'd have to kill you."