Here is the full list of all 33 Save Room - Organization Puzzle achievements. It takes around 1-2 hours to unlock all of the achievements on Windows.
Examined all items.
Tried to finish a level while wounded.
Used every health item.
Complete all levels
Complete level XXXIX
Complete level XXXVII
Complete level XXXV
Complete level XXXIII
Complete level XXXI
Complete level XXIX
Tried to finish a level without reloading your guns.
Complete level XXVII
Complete level XXV
Complete level XXIII
Complete level XXI
Lost health.
Complete level XIX
Complete level XVII
Tried to use a red or yellow herb.
Performed a herb combination.
Complete level XV
Complete level XIII
Complete level XI
Used a health item.
Complete level IX
Complete level VII
Finish a level with two free spaces or more.
Complete level V
Examined one of your weapons.
Complete level III
Complete level I