Bronze:

Dinner Time!
Objective: Trophy won for completing the 'Prosciutto's Strange Recipe' quest.

Close Call
Objective: Trophy won for completing the 'Replay's Trials and Tribulations' quest.

Rock Solid Defense
Objective: Trophy won for completing the 'Attack of the Unicorns' quest.

Sous Chef
Objective: Trophy won for completing the three missions in the 'Prosciutto's Strange Recipe' quest.

The Big Escape
Objective: Trophy won for completing the three missions in the 'Replay's Trials and Tribulations' quest.

Untouchable Stronghold
Objective: Trophy won for completing the three missions in the 'Attack of the Unicorns' quest.

Perfect Rescue
Objective: Trophy won for completing the three missions in the 'Saving Koolo Max' quest.

Silver:

Maxi-Rescue
Objective: Trophy won for completing the 'Saving Koolo Max' quest.

King of Challenges
Objective: Trophy won for completing the 20 standard challenges.

Champion of Chance
Objective: Trophy won for winning 10 random challenges.

One For All and All For One
Objective: Trophy won for completing at least one quest with each of the 8 playable characters.

Gold:

Maxi-Minimoys
Objective: Trophy given for having unlocked all the quests, the playable characters, the mini-games and the bonuses.