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