[This information is outdated. Unless stated, I no longer play TWEWY!Wally in DRs.]
Name: Wallace "Wally" Rudolph West
Original Canon: Teen Titans [animated series + companion comic book]
Target Canon: The World Ends With You [set in Gotham instead of Shibuya]
+ His world is essentially the same as canon Teen Titans. There's still Batman, Wonder Woman, and all those lovely superheroes running amok in the world. Wally will refer to Superman and Batman and other DC heroes at times, but not to the extent most people'd expect.
+ Every major city has its own Under Ground and Real Ground. That being said, each city also has its own Composer that can't leave the city unless they give up their title to someone else. Gotham's current Composer is Dick Grayson. (He died in an accident involving the Joker six months before Wally came to Gotham.)
+ Yes, Barry Allen is still the current Flash. Wally is just completely unaware of this fact.
+ The Teen Titans currently consist of Starfire, Beast Boy, Cyborg, Raven, Jericho, and Terra. (Slade does not exist in the RG - and neither does Robin) The Teen Titans just generally keep the peace in the Bay Area. The current leader of the Titans is Cyborg.
+ Dick Grayson is to Slade Wilson as what Kitaniji was to Joshua. That's pretty much it in terms of relationships. (For those not in the know? Dick reluctantly works for Slade.)
+ Gotham is the official name of the city, but everyone in the UG calls it Manhattan. (But it's really the same place. The different names confuse everyone?)
Notes Concerning Wally:
+ He still has the super-speed and relation to the Speed Force that all Flashes do. He's just... unaware of it since he died in the accident that gave him his powers.
+ Wally can't use pins or fight unless he has a partner that's played the Reaper's Game. (His AU partners were Jinx, Dick, and Roy, but Garth or anyone else from the TWEWY universe could also count as a partner) That being said, he may still read surface thoughts, but they're extremely weak and not always reliable.
+ Yes, he's still a big flirt. Most ladies in DRs this Wally gets thrown into will be treated with the utmost respect possible. Sorry ladies, but his heart was stolen by Jinx a while back.
+ He has a cell phone and iPod, but he doesn't rely on service for the phone. The iPod... eh, it's used occasionally.
+ He's still technically dead, even though he was taken right after the final boss battle of his world. (Dick hadn't gotten a chance to revive him.) ... Uh, train magic makes him visible to everyone despite the fact he's technically still in the UG?
+ Wally still lives in Nebraska at this point. He is not actually from Central City, though he wishes he were.
(More will come as they need to. That's about all the mun can think of for now.)