godisawesome beat me to the punch on Dick and Damian's mixed, American-mutt and quite diverse qualities, and as an Irish-boy myself I always saw a lot of myself in Jason and the red hair didn't hurt. The palette swap thing stems from the tendency for whoever is "Robin" to look, well, like Robin. But I'd love artists of a bit more thought and skill to show off those differences, and that includes a tan on Damian ... and an anti-tan on Jason. Of course, in general I can't and won't argue that Gotham doesn't need more diversity. Cassandra Cain and Renee Montoya seem like the best, easiest fixes (or Crispus ... or freaking Josie Mac ... Josh Azeveda ... or Dagmar Procjnow). Of course, we're talking purely "Bat-Family" here - the villains are a little more diverse, actually. But they too could use a bit more color.
Onyx was a Green Arrow character guesting in the bat-books and I think she's back where she belongs. Batman Incorporated helps a bunch, but they're not really core, because they're not Gotham local. As for Batwing, that's a tricky one. I like what they're doing with Luke, the whole Batman Beyond vibe. I feel like the Foxes get first dibs if anyone is going to mine old characters to create new ties and bring in a bit of diversity, because Lucius is core Batman and is grandfathered in back to the late 70s.
Dead right about the early-to-mid 2000s though. That period, along with the late 70s are the two peak points of injecting a bit of color into DC Comics. Reactionary times - but times that were absolutely called for, and told good stories regardless. One of the nice bits about the New 52 I suppose could be that Orpheus could come back.
I've got some high damn hopes for Annie Aguila.