Here is the full list of all 14 Acceleration of Suguri X Edition trophies - there are 11 bronze, 2 silver and 1 gold.
Unlock all character story lines on any difficulty.
Defeat Suguri in Normal or Hard Arcade Mode before time runs out.
Win a fight without taking damage in Arcade Mode.
Complete both Story modes on Normal or Hard difficulty.
Complete Hard Standard Arcade Mode.
Defeat Hime in Normal or Hard Arcade Mode before time runs out.
Win 5 matches in Normal or Hard Arcade Mode with 50 seconds or more left.
Land a 30 hit combo or higher in Arcade Mode.
Defeat Nanako in Normal or Hard Arcade Mode before time runs out.
Defeat Kae in Normal or Hard Arcade Mode before time runs out.
Defeat Saki in Normal or Hard Arcade Mode before time runs out.
Defeat Iru in Normal or Hard Arcade Mode before time runs out.
Defeat Kyoko in Normal or Hard Arcade Mode before time runs out.
Win a fight without reaching 150% on the heat gauge in Arcade Mode.