Here is the full list of all 12 EVE: Gunjack trophies - there are 7 bronze, 4 silver and 1 gold.
Complete Mission 1
Earn a 3-star rating in both bonus missions
Complete M1-10 with at least a 2-star rating
Kill 100% of enemies in 3 separate missions
Achieve 'Master' rating for a mission
Use 100 power-ups
Destroy 1,000 asteroids in Bonus missions
Complete M11-20 with at least a 2-star rating
Kill 5,000 enemies
Earn 50 stars
Complete Mission 20 with a 3-star rating
Achieve 'Master' rating for all missions