One of the most interesting, joyful experiences you can have in the computer versions of Minecraft is simply picking a direction and setting off on a grand adventure, pausing only to carve yourself a shelter into a convenient hillside when night falls.
While the Xbox 360 and PlayStation 3 versions do allow for a certain degree of exploration, they lack the completely infinite nature of the home computer versions. It seems that the PlayStation 4 and Xbox One versions will provide a much larger playground for you to explore -- but still a limited one, meaning the PC version is still the definitive edition of the game.
The reason for the limitation is, according to port developer 4J Studios, due to save file size limits imposed by Sony and Microsoft. The company is reportedly working with both companies on what will be practical to implement on both platforms, so there's no specific word on exactly how big the worlds on offer will be, but they will supposedly be "a lot bigger than PS3/Xbox 360."
Both the PS4 and Xbox One versions will allow you to import save worlds from their previous-generation counterparts. The PlayStation 4 version will also incorporate touchpad support for navigating the user interface -- particularly useful in Creative Mode.
The new editions of the game -- along with a Vita version, which will have a few more limitations owing to the portable's less powerful hardware -- are set to arrive sometime in "Q2/Q3" of this year, which could be any time between now and September.