Worlds
The Worlds are touted as being much more expansive than those seen in the first game.
The first playable World is apparently Hollow Bastion, where the game opens.
Speaking of the Worlds, all the mentioned/confirmed themed-Worlds thus far are, in no particular order
World Name/Movie
"Fabled Countryside"/Beauty and the Beast
"Ancient Greece"/Hercules
As for the specific, primary/prominent areas for each of the aforementioned Worlds, a few were mentioned...
Fabled Countryside
Quaint/Peaceful Village (one said the latter, another the former)
Forbidden Woods/Forest
Beast's Manor (this is the term that's always been used so far; no "castle" or anything of the like; perhaps if the curse is broken, it'll become "Prince's Castle", or something)
Ancient Greece
Thebes (City)
Mount Olympus (Colosseum included)
[The] Underworld (part of it is tournament-based)
All the mentioned, practically-confirmed theme-Worlds, thus far, are, in no particular order (some are written about outright, whereas some are here simply going by subtle hints; no word on any sort of Final Fantasy-inspired Worlds as of yet):
Nottinghamshire/Robin Hood
Pride Rock/The Lion King
Camelot/The Sword In The Stone
Prydain/The Black Cauldron (WOOHOO!)
All the mentioned/heavily-rumoured themed-Worlds include, thus far
Victorian London/The Great Mouse Detective
????/The Jungle Book
????/Mulan (one magazine said "... Mulan ... and The Jungle Book are all expected to be immortalized as playable Worlds in the next installment."