Yeah, it's not terribly 'new' to make an original seven Justice League that's literally *the original seven.*
I've always loved the idea of a 'back half' Satellite League. Green Arrow, Black Canary, Elongated Man (and Sue), Atom, Hawkwoman, Firestorm and Red Tornado (with Zatanna taking a more 'pops in to provide cryptic plot seeds' role like the Phantom Stranger, but not being one of the rank-and-file).
But I'd also love for a League lineup that included Vixen, Booster Gold and Black Lightning. I am legion, I contain multitudes. Or I'm really fickle.