Here is the full list of all 15 Game Tengoku CruisinMix Special trophies - there are 5 silver, 9 gold and 1 platinum.
Acquired all trophies.
Watch the Arcade Mode's staff credits without destroying any of them
Finish the second loop of Arcade Mode + (Z-DYNE MkII)
Finish the second loop of Arcade Mode + (Genesis-3)
Finish the second loop of Arcade Mode + (Momoko)
Finish the second loop of Arcade Mode + (Pig)
Finish the second loop of Arcade Mode + (Poopera)
Finish the second loop of Arcade Mode + (Fighter EX)
Destroy the END in Arcade Mode
Watched all chapters of STORY REPLAY
Defeat the Yamada Virus without continuing
Use a continue on any mode
Finish any stage without using a bomb
Listen to Misato sing her entire song in any mode
Use a bomb with any character