From a conversation at another site. We agreed Flash’s Rogues didn’t count, as the name is an umbrella term for well, his rogues gallery in general, w. some being more popular than others obviously.

Villain teams (like the Injustice Society) for hero teams (like the JSA) we didn’t count either; we were looking for the rogues of individual heroes teaming up Sinister Six style, w. a name and everything.

So, looking for teams within rogues galleries.
Only one that sprung to mind was the Superman Revenge Squad.