Minecraft on XBox360
Minecraft is available for the XBox 360 although it is not exactly the same as the PC version. For starters the unlimited map is replaced with a fixed sized map and player mods and free access to custom servers are not available.
The new crafting interface in Minecraft for Xbox 360 delivers a very different way to build Minecraft worlds. There are also a lot of skin packs available as inexpensive DLC.
The Xbox edition of Minecraft also features a tutorial mode the map of which can be used to gain almost all of the achievements in a relatively short period of time.
In the end, you know it's all just blocks.
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