My crew has now got their name
Haven, which I think says a lot about the group dynamic. They have a mindset of Protectors (rather than Avengers)
Former team names for my groups were:
The Highwaymen, who started out very much on the wrong side of the law.
Force, who were quite the hard hitting, bruiser types.
Onslaught, very high minded local heroes
Purge, the tough guys that broke off from Onslaught
and the New Breed, a group of younger players that I ran in the late 80's.
Avatars of Justice is great.
My favorite will always be The Justice Machine.