Here is the full list of all 11 VASARA Collection trophies - there are 6 bronze, 4 silver and 1 gold.
Fill your first Vasara Gauge
Reach maximum fire power
Finish any Stage without using a Vasara Attack
Finish any Stage without using melee attacks
Defeat your first Boss
Finish Vasara 1 by defeating Tokugawa
Finish Vasara 1 by defeating the REAL Tokugawa
Finish Vasara 2 on 6 Stages Rank Mode
Finish Vasara 2 on 12 Stages Rank Mode
Finish Vasara 1 and Vasara 2 with all base characters
Finish any Stage without killing any Commander