Here is the full list of all 19 Kurushi trophies - there are 6 bronze, 2 silver, 10 gold and 1 platinum.
Unlock all trophies in I.Q.: Intelligent Qube.
Clear Stage 1.
Clear Stage 2.
Clear Stage 3.
Clear Stage 4.
Clear Stage 5.
Clear Stage 6.
Clear Stage 7.
Clear Stage 8.
Clear the final Stage.
Get a perfect on Stage 1.
Get a perfect on Stage 2.
Get a perfect on Stage 3.
Get a perfect on Stage 4.
Get a perfect on Stage 5.
Get a perfect on Stage 6.
Get a perfect on Stage 7.
Get a perfect on Stage 8.
Get a perfect on the final Stage.