"Hit with a wide variety of attacks."
That's the description for it. I'm not sure WHAT, exactly, you're supposed to do to get it. I think, though, you have to use EVERY SINGLE MOVE, AND use it successfully. You'd probably have to be Luigi, since he's the only one who can attack with a taunt.
I'm still trying to get that one, as well as No-Damage Clear and several others. Gah! I've come so close! If you still need No-Damage Clear, my tip would be All-Star mode on very easy.
I think Diskun and Captain Olimar are the only trophies I have left. (No, I confess, I haven't played Pikmin.)
Oh, and BTW, the only way to defeat a Paratroopa (and for it to count) is to pick it up and throw it, like you would with other characters. It took me forever to find that out.
Hope this helps.
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If things don''t go your way, just keep complaining until your dreams come true.