Here is the full list of all 38 Battle Garegga Rev.2016 trophies - there are 16 bronze, 18 silver, 3 gold and 1 platinum.
Clear Premium Mode (Continues OK)
Acquire an Extend Item.
Destroy the propeller on the front of Nose Laughin, the boss of the Valley stage.
Clear Super Easy Mode. (Continues OK)
Release the pink flamingoes in the Plateau stage.
Acquire the maximum amount of stock for Special Weapons.
Destroy the fragment of Slayer at the Cloud stage using a Special Weapon
See the ending for ship No. 4 using player 1 (Continues OK)
Acquire 4 Large Weapons within 10 seconds.
See the ending for ship No. 3 using player 1 (Continues OK)
Destroy the fragment that flies out when Glow Squid escapes from King Crimson in the Airport stage using a Special Weapon.
Destroy the giant laser at the Base stage using a Special Weapon
See the ending for ship No. 1 using player 1 (Continues OK)
Use Player 1 to achieve the special power up by using shot power.
See the ending for ship No. 2 using player 1 (Continues OK)
Clear Arcade Mode (Continues OK)
Defeat the final form of Glow Squid, the Airport boss.
Defeat the first form of Glow Squid, the Airport boss.
Destroy Black Heart mk2 in the Airport stage.
Destroy Junky Monkey, the Base stage boss.
Destroy Fortress in the Base stage.
Destroy Black Heart, the Cloud stage boss.
Destroy Slayer in the Cloud stage.
Destroy Mad Ball Rev. in the Cloud stage.
Destroy Nose Laughin Rev. in the Cloud stage.
Get a game over before releasing the pink flamingoes in the Plateau stage.
Destroy Satanic Surfer, the Plant stage boss.
Destroy Earth Crisis, the Factory stage boss.
Destroy Mad Ball, the Plateau stage boss.
Stop the giant tank in the Plateau stage by destroying its tracks.
Destroy Nose Laughin, the Valley stage boss.
Achieve a Hidden Option Formation with Player 1.
Destroy an enemy with the shrapnel from when your ship (or certain weapons from ship No. 1) is destroyed.
All trophies achieved! Mission complete.
See the ending for Gain using player 1 (Continues OK)
See the ending for Chitta using player 1 (Continues OK)
See the ending for Miyamoto using player 1 (Continues OK)
See the ending for Bornnam using player 1 (Continues OK)