My first book would simply be titled JLA and would feature a rotating lineup of the following:
Superman
Batman
Wonder Woman
Aquaman
Green Lantern
Flash
Martian Manhunter
Green Arrow
Black Canary
Atom
Hawkman
Hawkwoman
Zatanna
Steel
My second would be JLI (whose lineup makes it obvious where I'm drawing from):
Blue Beetle
Booster Gold
Fire
Ice
Guy Gardner
Rocket Red
Power Girl