The arcade port of BlazBlue Continuum Shift is going to have quite a bit of extra bonus content. One of the major additions is the character μ-12 who is a cyborg character exclusive to the home console releases on Xbox 360 and PlayStation 3.
Players can expect to play on all the stages from the Arcade release of BlazBlue: Continuum Shift along with new ones exclusive to the home consoles and remade classics from BlazBlue: Calamity Trigger.
Arc System Works also was nice enough to include the BlazBlue Portable exclusive mode Legion to the home console release.
As of right now BlazBlue: Continuum Shift has only been announced for Japan and is hitting some time early this Summer for both PlayStation 3 and Xbox 360.