Originally Posted by
Digifiend
There is Avery Ho, Flash of China, and Irey West, Impulse II, who are both Asian (Irey's mother is Linda Park, who is Korean). Problem is Avery requires New Super-Man to be adapted (she debuted in Flash, but got her costume and codename in Kenan's book), and Irey requires a comic accurate Wally.
They've also just introduced a black female speedster, Bolt.
Not the main JL book actually, Flash in that is Barry. It's Flash, Justice League Infinity (DCAU sequel), and Justice League Last Ride (an Elseworld).