Here is the full list of all 34 Dreadnought (EU) trophies - there are 14 bronze, 16 silver, 3 gold and 1 platinum.
Add a Tier V ship to your Fleet
Win 25 games of Team Elimination
Finish 10 Team Elimination matches without dying
Eliminate a player in Team Elimination with a Fighter Jet
Shoot down a Fighter Jet in Team Elimination
Win 25 games of Team Deathmatch
Defeat a wave of Havoc in less than 45 seconds
Kill 3 or more enemies in under 10 seconds
Win 25 games of Onslaught
Complete 100 games
Kill 100 enemies in Team Deathmatch
Kill 25 enemies with your secondary weapon
Win a game with a Legendary Fleet
Destroy 10 Command Ships in Onslaught
Earn 150 assists
Heal 1,000,000 damage
Kill 10 enemies with your secondary weapon
Win a game with a Veteran Fleet
Win separate matches as a Dreadnought, Destroyer, Artillery Cruiser, Tactical Cruiser and Corvette
Kill an enemy that an ally has debuffed
Customize a ship's appearance
Kill 25 enemies while in a Squad
Kill 2 enemies within 1 second
Add a Tier II ship from Oberon, Jupiter Arms, and Akula Vektor to your Fleet
Customize your captain's appearance
Complete 5 games
Add a fully researched ship to your Fleet
Heal back to full life after dropping below 100 health
Kill an enemy while dead
Finish a match as the highest-scoring player on your team
Get a Kill with an Assist from a Squad member, and vice versa with the same player
Collect all other trophies in Dreadnought
Complete 1000 games
Defeat wave 10 in Havoc