Here is the full list of all 32 Kizuna AI - Touch The Beat! trophies - there are 21 bronze, 4 silver, 6 gold and 1 platinum.
Acquired all trophies.
Finished the tutorial for the first time.
Finished game mode for the first time.
Finished view mode for the first time.
Achieved a 100 combo on any level in game mode.
Achieved a 200 combo on any level in game mode.
Achieved a 300 combo on any level in game mode.
Achieved Rank S or higher 10 times on any level in game mode.
Achieved Rank S or higher 50 times on any level in game mode.
Achieved Rank S or higher 100 times on any level in game mode.
Achieved 10 perfect combos on any level in game mode.
Achieved 50 perfect combos on any level in game mode.
Achieved 100 perfect combos on any level in game mode.
Achieved Rank S or higher for all 15 songs in game mode on easy (excluding the tutorial & additional songs).
Achieved Rank S or higher for all 15 songs in game mode on normal (excluding additional songs).
Achieved Rank S or higher on melty world in game mode on any difficulty level.
Achieved Rank S or higher on Hello, Morning in game mode on any difficulty level.
Achieved Rank S or higher on the MIRACLE in game mode on any difficulty level.
Achieved Rank S or higher on Again in game mode on any difficulty level.
Achieved Rank S or higher on Awakening in game mode on any difficulty level.
Achieved Rank S or higher on mirai in game mode on any difficulty level.
Achieved Rank S or higher on new world in game mode on any difficulty level.
Achieved Rank S or higher on future base in game mode on any difficulty level.
Achieved Rank S or higher on Sky High in game mode on any difficulty level.
Achieved Rank S or higher on FL-AI-YER in game mode on any difficulty level.
Achieved Rank S or higher on Touch Me in game mode on any difficulty level.
Achieved Rank S or higher on meet you in game mode on any difficulty level.
Achieved Rank S or higher on RADIO LOVE HIGHWAY in game mode on any difficulty level.
Achieved Rank S or higher on hello, alone in game mode on any difficulty level.
Achieved Rank S or higher on Here for you in game mode on any difficulty level.
Finished all 15 songs in game mode (excluding the tutorial & additional songs).
In game mode, turn on random and achieve an SS on any song. (This can be any non-tutorial song on any difficulty.)