Even with 70 characters, HD visuals and very destructible environments, this is just more of the same from the DBZ series and is too closely aimed at Dragonball fanboys.
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Once you do, re-select the battle again but make sure to select the Hard difficulty. You'll spot a new feature called "Mission" that will detail what you need to do to earn stars for the Star Shop.
Each battle now will have objectives each worth stars. One of the three objectives will always be to simply win the fight on the Hard difficulty.