Even though Black Canary is my favorite.
Here are my choices for the Justice League of America:
Batman, Superman, Wonder Woman, Flash (Barry Allen), Green Lantern (John Stewart, even though I like Hal more. I feel like there should be at least ONE person of color on the team), Hawkgirl (Hawkwoman?), Aquaman (He's cool now, you guys)
And for a Justice League International movie:
Booster Gold. Blue Beetle (TED KORD), Batman, Ice, Fire, Black Canary
Though there's never going to be a JLI movie so I don't know why I even bothered...

I also love Black Canary. I like Hawkgirl cause she's one of the second woman hero along with Wonder Woman.

When you watch the last episodes of Justice League when her people invade Earth and The Justice League have to stop theme and they just CAN'T trust her after what she did through out The Animated Series and I mean look at Wonder Woman when you watch the last episode.