Here is the full list of all 38 Master Detective Archives: RAIN CODE Plus trophies - there are 26 bronze, 6 silver, 5 gold and 1 platinum.
Obtained all trophies
Completed the game
Completed “Massacre on the Amaterasu Express”
Completed “Shinigami Puzzle”
Completed “GOD Shinigami”
Completed “Deduction Denouement”
Completed “The Nail Man Killings”
Used Coalescence with Halara
Completed “Culprit Selection”
Completed “A Silent Curtain Call”
Found Desuhiko on the first try
Used Coalescence with Desuhiko
Completed “No Longer a Detective”
Used Coalescence with Fubuki
Defused all bombs
Escaped from the Peacekeepers
Completed “The Imperfect Insider”
Traversed the panel chamber with Ama-Pal
Used Coalescence with Vivia
Completed “And Then I Was Gone”
Learned that Makoto used Coalescence
Ate a meat bun, a Kanai Ward specialty
Slashed through a contradictory statement in Reasoning Death Match
Slashed and destroyed “Noise” 200 times during Reasoning Death Match
Completed “Reasoning Death Match”
Used “Assist” during Reasoning Death Match
Settled arguments between suspects in a special Reasoning Death Match
Performed “Daring Dodge” 100 times in Reasoning Death Match
Obtained SS rank in all Mystery Labyrinths
Obtained all “Labyrinth Skills”
Reached Detective Rank 10
Reached Detective Rank 20
Reached max Detective Rank
Gathered all Memory Shards
Unlocked all “Gumshoe Gabs” with one detective
Solved 1 Request
Solved 5 Requests
Solved all Requests