Here is the full list of all 49 The King of Fighters XV trophies - there are 37 bronze, 9 silver, 2 gold and 1 platinum.
Fought in a room you've created in Room match (any mode).
Achieved a K.O. with a Climax Super Special Move (excl. PvP matches/training mode).
Fought a Draft VS match via Room match.
Fought a Single VS match via Room match.
Performed 10 reversals(excl. PvP matches/training mode).
Punished 20 times (excl. PvP matches/training mode).
Fought a Team VS match via Room match.
Trained in Training Mode.
Earned all trophies.
Cleared Story Mode for the first time.
Cleared Story Mode with 3 official teams.
Cleared Story Mode with 5 official teams.
Cleared Story Mode with 10 official teams.
Cleared Story Mode with all random characters.
Achieved an SS clear rank in Story Mode.
Achieved 10 perfect wins (excludes PvP versus modes).
Landed 50 or more hits in a single combo (any mode).
Dealt 900 or more damage in a single combo (any mode).
Fought online 10 times (excl. Room matches).
Fought online 30 times (excl. Room matches).
Achieved your first victory online (excl. Room matches).
Won 10 ranked matches.
Won 30 ranked matches.
Achieved your first ranked-match winning streak.
Reached rank 16.
Fought a Party VS match via Room match.
Increased your rank.
Landed a Shatter Strike (excl. PvP matches/training mode).
Landed 20 Shatter Strikes (excl. PvP matches/training mode).
Activated Max 20 times (excl. PvP matches/training mode).
Activated Quick Max 20 times (excl. PvP matches/training mode).
Achieved 20 K.O.s with a Climax Super Special Move (excl. PvP matches/training mode).
Executed 20 Climax Cancels (excl. PvP matches/training mode).
Achieved 20 K.O.s with a Max Super Special Move (excl. PvP matches/training mode).
Executed 20 Advanced Cancels (excl. PvP matches/training mode).
Achieved 20 K.O.s with a Super Special Move (excl. PvP matches/training mode).
Executed 20 Super Cancels (excl. PvP matches/training mode).
Executed 20 K.O.s with an EX Special Move (excl. PvP matches/training mode).
Successfully executed 10 throws(excl. PvP matches/training mode).
Acquired 10 titles.
Acquired 30 titles.
Acquired 50 titles.
Cleared all tutorial trials.
Cleared all single-person mission trials.
Cleared all two-person mission trials.
Cleared all three-person mission trials.
Customized music at the DJ Station.
Unlocked 5 albums in the DJ Station.
Unlocked 10 albums in the DJ Station.