Here is the full list of all 44 Under Night In-Birth Exe:Late[st] trophies - there are 28 bronze, 12 silver, 3 gold and 1 platinum.
Won the round with less than 30% health remaining. (Not unlockable in Training Mode, Tutorial Mode, or Mission Mode.)
Cleared Arcade Mode with any character.
Used Smart Steer. (Not unlockable in Training Mode, Tutorial Mode, or Mission Mode.)
Used Cross-Cast Veil Off. (Not unlockable in Training Mode, Tutorial Mode, or Mission Mode.)
Landed a Veil Off attack on a Vorpal-state opponent. (Not unlockable in Training Mode, Tutorial Mode, or Mission Mode.)
Defeated an opponent while still in Vorpal state. (Not unlockable in Training Mode, Tutorial Mode, or Mission Mode.)
Viewed the complete Prologue in Chronicle Mode.
Cleared 100 objectives in Tutorial Mode.
Cleared 80 objectives in Tutorial Mode.
Cleared 50 objectives in Tutorial Mode.
Cleared 20 objectives in Tutorial Mode.
Cleared the first chapter in Tutorial Mode.
Unlocked all Trophies for UNDER NIGHT IN-BIRTH Exe: Late[st].
Cleared Arcade Mode with a Difficulty Setting of "5", Rounds at "3" or more, and without continuing, with any character.
Unlocked 5 scenes in Chronicle Mode.
Unlocked 10 scenes in Chronicle Mode.
Unlocked 15 scenes in Chronicle Mode.
Viewed Hilda's complete scene in Chronicle Mode.
Viewed all scenes in Chronicle Mode.
Won 5 consecutive matches in Versus Mode.
Achieved a total score of 1,000,000,000 or more in Score Attack Mode.
Cleared Time Attack Mode in under 12 minutes with 3 different characters.
Fought over 50 matches in Survival Mode. (Losses included.)
Cleared all Beginner-level combo challenges in Mission Mode for 3 characters.
Cleared all Intermediate-level combo challenges in Mission Mode for 3 characters.
Cleared all Intermediate-level combo challenges in Mission Mode for 5 characters.
Successfully escaped from a throw. (Not unlockable in Training Mode, Tutorial Mode, or Mission Mode.)
Pressed A+B+C during Cross-Cast Veil Off to execute Infinite Worth. (Not unlockable in Training Mode, Tutorial Mode, or Mission Mode.)
Finished an opponent using Infinite Worth EXS. (Not unlockable in Training Mode, Tutorial Mode, or Mission Mode.)
Caused a GRD Break. (Not unlockable in Training Mode, Tutorial Mode, or Mission Mode.)
Performed Chain Shift while possessing 6 or more GRDs. (Not unlockable in Training Mode, Tutorial Mode, or Mission Mode.)
Performed Guard Thrust while in Vorpal state. (Not unlockable in Training Mode, Tutorial Mode, or Mission Mode.)
Caused a FINAL CLAUSE. (Not unlockable in Training Mode, Tutorial Mode, Mission Mode, or Survival Mode.)
Perfected 5 rounds. (Not unlockable in Training Mode, Tutorial Mode, or Mission Mode.)
Fought 10 battles using female characters. (Not unlockable in Training Mode, Tutorial Mode, or Mission Mode.)
Fought 10 battles using male characters. (Not unlockable in Training Mode, Tutorial Mode, or Mission Mode.)
Dished out over 5,000 damage in one combo chain. (Can be achieved in Training Mode, regardless of settings.)
Purchased all Icons.
Purchased all Plates in [Character Plate 1].
Purchased all Plates.
Purchased all Titles.
Unlocked all 30 colors for any character.
Purchased all Menu Characters.
Spent over 200,000 IP in total.