Here is the full list of all 44 Tokyo Tattoo Girls trophies - there are 32 bronze, 8 silver, 3 gold and 1 platinum.
Beat the game with all partners 8 times
Beat the game with Chizuru 8 times
Beat the game with Kayako 8 times
Beat the game with Akika 8 times
Beat the game with Mai 8 times
Beat the game with Karin 8 times
Beat the game with Chocho 8 times
Used Chocho's special command 10 times
Collected all items for the HQ
Cleared all difficulty levels with all partners
Acquired 500,000 PM in one game
Cleared Normal difficulty level with Akika
Cleared Akika with A Rank
Conquered all Wards with Akika
Cleared Normal difficulty level with Kayako
Cleared Kayako with A Rank
Conquered all Wards with Kayako
Used all of Kayako's special commands
Used Kayako's special command 10 times
Used all of Akika's special commands
Used Akika's special command 10 times
Cleared Normal difficulty level with Mai
Cleared Normal difficulty level with Karin
Cleared Mai with A Rank
Conquered all Wards with Mai
Used all of Mai's special commands
Used Mai's special command 10 times
Cleared Normal difficulty level with Chizuru
Conquered all Wards with Chizuru
Cleared Chizuru with A Rank
Used all of Chizuru's special commands
Used Chizuru's special command 10 times
Cleared Normal difficulty level with Chocho
Cleared Chocho with A Rank
Beat the game without interacting with a siren
Conquered all Wards with Chocho
Cleared Karin with A Rank
Conquered all Wards with Karin
Used all of Karin's special commands
Used Karin's special command 10 times
Won a minigame for the first time
Watched the tutorial for the first time
Earned all trophies
Used all of Chocho's special commands