Here is the full list of all 16 Catch Them Sweetie achievements.
Successfully catch any Trophy.
Use the "Double" bonus on a card with 0 points.
Destroy the "Strength=Weakness" card.
Use the "Double" bonus on any card with negative points.
Lose the game for the first time.
Use the "Double" bonus on the Dynamite card.
Use the "Double" bonus on the most negative card.
Collect all the disease cards.
Catch the Trophy on a secret level.
Catch all the Trophies on easy game mode.
Catch all the Trophies on medium game mode.
Catch all the Trophies on hard game mode.
Try to lower the level with a bonus card in the first stage.
Try to lower the level with a bonus card during the final catch.
Touch the duck.
Touching the duck while catching a Trophy.