Here is the full list of all 36 PSYCHO-PASS: Mandatory Happiness achievements.
You have unlocked all TIPS
You have unlocked all VOICE contents
You have reached the "Magical Song" ending (Takuma Tsurugi)
You have unlocked all SCENE contents
You have reached the "Call of Mephistopheles" route (Takuma Tsurugi)
You have reached the "Floating Ark" ending (Takuma Tsurugi)
You have reached the "Return of The Masked Princess" ending (Takuma Tsurugi)
You have reached the "Duel on Table" route (Takuma Tsurugi)
You have reached the "Grapplers" route (Takuma Tsurugi)
You have reached the "Storytelling by the bedroom..." route (Takuma Tsurugi)
You have reached the "Symbol of Faith" ending (Takuma Tsurugi)
You have reached the "Toy Box Brothers" route (Takuma Tsurugi)
You have reached the "The One Finding Chaos" route (Takuma Tsurugi)
You have reached the "Surprise Weekend" route (Takuma Tsurugi)
You have reached the "Murderer's Night" ending (Takuma Tsurugi)
You have reached the "Man of Capability" ending (Takuma Tsurugi)
You have reached the "Man of Rocks" route (Takuma Tsurugi)
You have reached the "Smile of an Angel" route (Nadeshiko Kugatachi)
You have reached the "The Guiding Goddess" ending (Nadeshiko Kugatachi)
You have reached the "Eternal Cradle" ending (Nadeshiko Kugatachi)
You have reached the "Thus, Fate Has Announced The Demise" ending (Nadeshiko Kugatachi)
You have reached the "Daily Life's Guard" ending (Nadeshiko Kugatachi)
You have reached the "Resting Leadership" route (Nadeshiko Kugatachi)
You have reached the "Lady's Talk" route (Nadeshiko Kugatachi)
You have reached the "Violet Flower" route (Nadeshiko Kugatachi)
You have reached the "The Burdened" route (Nadeshiko Kugatachi)
You have reached the "Light and Shadow" route (Nadeshiko Kugatachi)
You have collected 100,000 points from the mini-games
You have reached the "Someday, Certainly" ending (Nadeshiko Kugatachi)
You have reached the "Revealed Answer" ending (Nadeshiko Kugatachi)
You have reached the "Different Colors" route (Nadeshiko Kugatachi)
You have reached the "Happy Family" ending (Nadeshiko Kugatachi)
You have reached the "Childhood's End" ending (Nadeshiko Kugatachi)
You have reached the "Whisper of a demon" route (Nadeshiko Kugatachi)
You have unlocked all PICTURE contents