You need to obtain all victory screen. You don't have to get all four in one playthrough.
1. Game Complete : Just Beat the Game.
2. 100 % :Collect all Dream Squids
3. 100 % FASTEST TIME The cut off for this is 1 Hour 45 Minutes. I recommend learning where the Dream Squids are in each level, not saving, then reload and replaying it and doing it flawlessly. Then save. Any time you fail make sure to go to main menu to load and not continue. Continue will add your fail time onto your total.
4. FASTEST TIME The cut off for this is 1 Hour 20 Minutes.
And very important Skip all dialogues because the timer don't stop while a dialogue.