What we're likely to get
We already have access to DC's June solicitations and can get an idea of the immediate effects of Convergence on the core universe. Two properties have been tied into DC's long-term strategy and it could be said Convergence continued their story, as a bridge between Futures' End/World's End and the new status quo: Batman Beyond and Earth 2.
We can, I think, take for granted that no series continuing its pre-Convergence numbering will have been affected, and while characters like Prez and Dr. Fate ARE from other universes, these are clearly new versions of them, and so must be called the New52 versions. It's possible Black Canary gets retconned to an earlier version, just going by her look. Similarly, Starfire will no longer be an "Outlaw" and gets her own series, with a less revealing costume. Is this likewise a reversion/retcon? Bizarro gets a series, but is it the Bizarro that was trapped on Telos? Bat-Mite looks like he's going through the DCU to "fix" it, but I very much doubt DC is going to make real changes to its continuity in an overtly comedic series (though I'd love it if they hade that level of audacity). If that's Power Girl in Earth 2, who's the Power Girl in the Harley Quinn/PG book? And what of Garth Ennis' Section 8 mini-series? Hitman isn't in New52 continuity, is he?
My choices from the menu
It's clear not every character featured in Convergence can actually be considered for a return to the core universe. The announcements made by DC preclude any convergent changes to Superman, Batman and Wonder Woman, for example. I'll keep that wishlist for the end. So what can we actually consider to be ON the menu?
The Pre-Crisis Hawkman and Hawkwoman. I've never hidden my feelings about this. The best Earth-1 version of Hawkman and Hawkwoman is the one where they're a sexy space couple. I realize they weren't necessarily in the best spot just before the Crisis, but the Shadow War storyline they returned to in Convergence proved to me that version still had something, especially with more modern art. Tim Truman basically gave us something halfway between the Kubert Silver Age stuff and his own Hawkworld, and I loved it. It's time to do away with the Hawk avatar bull and reset the characters to their baseline.
Another couple I'd dearly want back: Ralph and Sue Dibny. Oh, and the Legion. But I'd say this at the end of any event. I'm biased.
Way off the map
And what about the stuff I KNOW I can't have?
And because I'm a little crazy, I'd bring the Tangent Flash into the DCU. I love that character, and I don't care if the name is taken. Make her a Teen Titan, and make the Teen Titans more in the spirit of Becky's book. And her mom Celeste better have crossed over as well, and be acting as a kind of den mother to the Titans.
And one final wish: The Wildstorm universe loses badly, and none of the characters are ever seen in the DCU again. Boom. I went negative there for a second, and I'm not even sorry.
But let's say I give YOU the keys, where do you drive your Convergence truck?