Here is the full list of all 31 Art of Fighting Anthology trophies - there are 15 bronze, 10 silver, 5 gold and 1 platinum.
Unlock all trophies in all three games.
Tweak the color scheme of every character in one of the games.
Clear all three Art of Fighting games including special stages.
Clear all three games as Ryo Sakazaki on Normal difficulty or higher including special stages.
Clear all three games as Robert Garcia on Normal difficulty or higher including special stages.
Clear all three games on Hard difficulty including special stages.
Art of Fighting: Deplete your spirit gauge, then recover 100% of it in one round in Story Mode.
Art of Fighting: Defeat Jack Turner in Stage 2.
Art of Fighting: Defeat King in Stage 4.
Art of Fighting: Defeat John Crawley in Stage 6.
Art of Fighting: Score a Perfect bonus in any round after Stage 5 on Normal difficulty or higher.
Art of Fighting: Rescue Yuri as Ryo.
Art of Fighting: Rescue Yuri as Robert.
Art of Fighting: Get all the way through Story Mode without having to use a continue.
Art of Fighting: Cut all five bottles at once in the Bottle Cut bonus stage.
Art of Fighting: Destroy all 4 blocks of ice at once in the Ice Pillar Smash bonus stage.
Art of Fighting: Unlock the "Haow-Ken" by completing the Super Death Blow bonus stage.
Art of Fighting 2: As Yuri, pick Ryo as your first opponent and defeat him without losing a round.
Art of Fighting 2: Defeat Mr. Big.
Art of Fighting 2: Reach and defeat Geese Howard.
Art of Fighting 2: Win a match with a red Spirit guage against the CPU.
Art of Fighting 2: Successfully complete the "Spirit Training" Bonus Game.
Art of Fighting 2: Successfully complete the "Strength Training" Bonus Game.
Art of Fighting 2: Successfully complete the "Initiate Super Death Blow" Bonus Game.
Art of Fighting 2: Reduce a CPU opponent's Spirit guage to zero by taunting.
Art of Fighting 3: Win a match with an Ultimate KO against the CPU.
Art of Fighting 3: Defeat Sinclair.
Art of Fighting 3: Defeat Wyler.
Art of Fighting 3: Clear the game without having to use a continue.
Art of Fighting 3: Defeat Wyler as Sinclair.
Art of Fighting 3: Beat the game with all the playable characters.