I want something different, that breaks the mold of the Morrisson Magnificent 7, however, still a large and iconic team, capable of handling any threat. I'd go with just one of the Trinity as a regular member, with the other two just on call for emergencies. Let's see:
Superman (the team needs its biggest gun, plus this will allow us to give Batman a rest. I'd also love to include Diana, but I want to stick with only one of the Trinity)
J'onn J'onzz (the moral and spiritual backbone of the League. Plus, one of its most powerful members)
Green 'John Stewart' Lantern (the Lantern I feel works best with the League. I'd also pick him to lead the team)
The Flash (Wally West. I still think he works much better than Barry)
Mera (not only standing in for Aquaman, but I want to see her as the warrior woman of the League in Wonder Woman's place)
The Atom (Ray Palmer. The biggest brain of the League, plus, also quite versatile in terms of power)
Black Canary (the personal combat expert of the team)
Dr. Light (Kymio Hoshi. Fire-power and another brain for the team)
Hawkman (The savage Hawkman. I want to foccus on Hawkman's extensive experience in combat)
Faith (power and new blood. There's a lot that can be explored about her past)
Zatanna (the magic expert of the team)
Plastic Man (a powerful comic relief)
Others would come and go as necessary.
Peace