Here is the full list of all 13 FATAL FURY BATTLE ARCHIVES Vol. 2 trophies - there are 11 bronze, 1 silver and 1 gold.
Beat Real Bout Fatal Fury, Real Bout Fatal Fury Special, and Real Bout 2 on level 4 or higher.
Beat Real Bout 2 with any character.
K.O. an opponent from a Sway line in Real Bout 2 (Single Play).
K.O. an opponent with a Hidden Ability in Real Bout 2 (Single Play).
K.O. an opponent with at least a 10-hit Rush attack in Real Bout Fatal Fury (Single Play).
Defeat an opponent without taking any damage in Real Bout 2 (Single Play).
Reach 1,000,000 points in Real Bout Special.
Defeat a level 8 opponent in Real Bout Special.
Beat Real Bout Special with any character.
Defeat Nightmare Geese in Real Bout Special.
Beat Real Bout Fatal Fury with any character.
Earn an SSS rating in a single round of Real Bout Fatal Fury (Single Play).
Ring Out an opponent in Real Bout Fatal Fury (Single Play).