Here is the full list of all 37 Girls und Panzer: Dream Tank Match trophies - there are 22 bronze, 9 silver, 5 gold and 1 platinum.
Obtain all trophies.
Exceed 20 hours of Match time.
Player Level above 80.
Acquire all Decals.
Acquire all Tank Colors.
Acquire all Crew and Support Cards.
Destroy a hidden BOCO.
Clear all Extra Missions on Normal Difficulty.
Clear all Extra Missions on Hard Difficulty.
Clear all Extra Missions on Extreme Difficulty.
Acquire all Tanks.
Clear all schools in Domination Battle.
Perform Napoli-turn.
Turn the tides with a decisive shot (excluding Free Match, Custom Match, and Friend Match). (Includes giant BOCO.)
Direct an ally through the Command & Control Panel.
Participate in a Free Match.
Customize a tank.
1-hit-K.O. more than 50 enemy tanks cumulatively (excluding Free Match, Custom Match, and Friend Match).
Destroy more than 50 enemies cumulatively while Drifting (excluding Free Match, Custom Match, and Friend Match). (Includes giant BOCO.)
Deal a lot of damage, achieve a high reload rate, and end the match with your attack (excluding Free Match, Custom Match, and Friend Match). (Includes giant BOCO.)
Clear Story Battle with all characters.
Clear Story Battle.
Use a Support Card.
Activate Panzer High.
Activate a Tank Commander Skill.
Destroy more than 30 Heavy Tanks cumulatively (excluding Free Match, Custom Match, and Friend Match). (Includes giant BOCO.)
Perform a Drift.
Perform Boost dash.
Clear all Exhibition Matches.
Perform Sloped Armor Guard.
Clear all Beginner's Training.
Attack the enemy's weak spot.(Includes giant BOCO.)
Destroy an enemy using scope mode.(Includes giant BOCO.)
Achieve a high hit rate (excluding Free Match, Custom Match, and Friend Match).
Destroy enemy tank treads.
Destroy an enemy.(Includes giant BOCO.)
Perform Quick reload.