Here is the full list of all 49 Carly and the Reaperman trophies - there are 32 bronze, 15 silver, 1 gold and 1 platinum.
Awarded for saving Cale
Awarded when the fourth challenge of the second level is finished
Awarded when the third challenge of the second level is finished
Awarded when the second challenge of the second level is finished
Awarded when the first challenge of the second level is finished
Awarded for saving Mishti the mishchievous rascal
Awarded when the fourth challenge of the first level is finished
Awarded when the third challenge of the first level is finished
Awarded when the second challenge of the first level is finished
Awarded when the first challenge of the first level is finished
Awarded if you finish all levels - including the Firefly club bonus levels
Awarded when the first challenge of the third level is finished
Awarded when the second challenge of the third level is finished
Awarded when the third challenge of the third level is finished
Awarded when the fourth challenge of the third level is finished
Awarded when helping the finch spread her wings and fly again
Awarded when the first challenge of the fourth level is finished
Awarded when the second challenge of the fourth level is finished
Awarded when the third challenge of the fourth level is finished
Awarded when the fourth challenge of the fourth level is finished
Awarded for saving Pooksi the dog
Awarded when the first challenge of the fifth level is finished
Awarded when the second challenge of the fifth level is finished
Awarded when the third challenge of the fifth level is finished
Awarded when the fourth challenge of the fifth level is finished
Awarded for saving the wisp in the subway
Awarded when the first challenge of the sixth level is finished
Awarded when the second challenge of the sixth level is finished
Awarded when the third challenge of the sixth level is finished
Awarded when the fourth challenge of the sixth level is finished
Awarded when saving the chef at the fried shrimp joint
Awarded when the first challenge of the seventh level is finished
Awarded when the second challenge of the seventh level is finished
Awarded when the third challenge of the seventh level is finished
Awarded when the fourth challenge of the seventh level is finished
Awarded for saving Ma in Soma Tower
Awarded when the first challenge of the eighth level is finished
Awarded when the second challenge of the eighth level is finished
Awarded when the third challenge of the eighth level is finished
Awarded when the fourth challenge of the eighth level is finished
Awarded when Carly has finally realised what it means to let go
Awarded when finishing the first challenge in Firefly club
Awarded when finishing the second challenge in Firefly club
Awarded when finishing the third challenge in Firefly club
Awarded when finishing the fourth challenge in Firefly club
Awarded when finishing the fifth challenge in Firefly club
Awarded when finishing the sixth challenge in Firefly club
Awarded when finishing the seventh challenge in Firefly club
Awarded when finishing the eighth challenge in Firefly club