The trophy list for Dreadnought has shown up on PSN Profiles, and it’s an interesting list! While the game has a Platinum, it seems as though it’ll be a grind to complete it. Finishing 1,000 matches seems like it’ll take a while!
Here’s the Dreadnought trophy list. It contains the Platinum, three Gold trophies, 16 Silver trophies, and 14 Bronze trophies:
Platinum:

Bix’s Right Hand

Collect all other trophies in Dreadnought

Gold:

Sinley Bay Legend

Complete 1000 games
Top of the Line

Add a Tier V ship to your Fleet
Legendary Captain

Win a game with a Legendary Fleet

Silver:

Killer Team

Kill 25 enemies while in a Squad
Goliath Down!

Eliminate a player in Team Elimination with a Fighter Jet
Unbreakable

Finish 10 Team Elimination matches without dying Many a Mickle Makes a Muckle

Destroy 10 Command Ships in Onslaught
Vessel of Death

Kill 100 enemies in Team Deathmatch
Cold Revenge

Kill an enemy while dead
Two Birds One Stone

Kill 2 enemies within 1 second
Ninja Skills

Kill 3 or more enemies in under 10 seconds
Veteran Captain

Win a game with a Veteran Fleet
Patron of Science

Add a fully researched ship to your Fleet
Cry Havoc

Defeat wave 10 in Havoc
Chief Medical Officer

Heal 1,000,000 damage
Helping Hand

Earn 150 assists
Second Serving

Kill 25 enemies with your secondary weapon
MVP

Finish a match as the highest-scoring player on your team
Sinley Bay Veteran

Complete 100 games

Bronze:

So Many Choices

Add a Tier II ship ...