Here is the full list of all 15 The Addams Family: Mansion Mayhem achievements.
Unlock your first Addams Crest
Unlock the Mazurka Saber
Collect your first Addams Doubloon
Unlock the Longlegs Launcher
Unlock the Beak Blotter
Unlock the Big Bomb
Complete the Dining Room World
Complete the Graveyard World
Complete the Music World
Complete the Laboratory World
Complete your First Mini Game
Complete five total Mini Games
Complete 10 total Mini Games
Complete a level without respawning
Complete a world without respawning