Here is the full list of all 42 Jamestown achievements.
Sustain a vaunt combo for 25 seconds on Normal.
Complete any level without using Vaunt.
Complete 5 challenge levels.
Complete the Gauntlet on any difficulty.
Complete the Gauntlet without continuing.
Complete any level on Divine difficulty.
Watch the credits.
Read through all the story text in the game.
Pacify the Heart of Mars.
Purchase an item from the Shoppe.
Defeat the Conquistador.
Complete any level on Legendary difficulty.
Complete a challenge level.
Defeat the Last Express.
Complete any level on Difficult difficulty.
Defeat the Dread Sentry.
Defeat the Lady of the Lake.
Locate the Lost Colony of Roanoke.
Complete a solo game.
Complete any level on Normal difficulty.
Defeat the Traitor Prince.
Purchase all items from the Shoppe.
Complete a team game with 2 players.
Complete a team game with 3 players.
Complete a team game with 4 players.
Complete a team game with 4 players all piloting different ships.
Complete the Gauntlet on all difficulties.
Complete the Gauntlet without using Vaunt on any difficulty.
Sustain a vaunt combo for 45 seconds on Difficult.
Sustain a vaunt combo for 60 seconds on Legendary.
Sustain a vaunt combo for 75 seconds on Divine.
Complete 15 challenge levels.
Complete all challenge levels.
Sustain a vaunt combo for 90 seconds on Judgement.
Complete any level on Judgement difficulty.
Complete the Gauntlet on Divine difficulty.
Complete the Gauntlet on Judgement difficulty.
Complete the Gauntlet on Judgement difficulty without continuing.
Complete the Gauntlet on Judgement difficulty without being hit or continuing.
Complete the Gauntlet on Divine difficulty without continuing.
Complete the Gauntlet on Divine difficulty without being hit or continuing.
Complete any mission playing as the Red Charge ship.