This trophy requires that you play (not complete or score high) all mini-games. All of the mini-games as well as how you unlock them can be found below:
**A quick note. Once you unlock a mini-game it can be played at any time through the collection area."8 Bit" Breakout:
Beat the game.Beautiful Katamari:
Complete all requests in Katamari Drive Mode.Beautiful Katamari (Hard):
Complete all requests in Katamari Drive Mode.*
*Once you complete all requests in Drive mode you will play the normal version of Beautiful Katamari. To play the hard version go to your collection and select the Hard mode.Roll Up The Fans:
Complete all requests in all game modes. (Excludes Co-Op)*
*Here you can find a list of all levels as well as which modes can be found in each (credit goes to vix on the katamari zetaboards): http://s9.zetaboards.com/Katamari_Damacy/topic/7137270/1/
Once you have played each mini-game your trophy should pop once you return back to the stage select area.
Hopefully this helps and have fun!