Here is the full list of all 28 Jamestown+ achievements.
Survive the Gauntlet on any difficulty.
Defeat the Pirate Queen.
Defeat the Matriarch.
Pacify the Heart of Mars.
Defeat the Conquistador.
Complete Dark Sector as Treason.
Score 250,000 points with a single Vaunt combo.
Defeat the Last Express.
Complete any mission with a 5-star rating.
Defeat the Dread Sentry.
Defeat the Lady of the Lake.
Locate the Lost Colony of Roanoke.
Defeat the Traitor Prince.
Revive a teammate using a revive token.
Earn all other achievements for Jamestown+.
Survive the Super Gauntlet on Legendary difficulty or higher.
Survive the Gauntlet on Divine difficulty or higher.
Complete any mission on Judgement difficulty.
Score 500,000 points with a single Vaunt combo.
Complete the 'Partition Rings' challenge level.
Complete the 'Luge' challenge level.
Complete any mission without dying.
Complete any mission without using Vaunt.
Purchase all items from the Shoppe.
Complete any of the challenge levels.
Survive the Gauntlet as Fortune on Legendary difficulty or higher.
Complete Croatoa as Ghost.
Complete New Madrid as Gunpowder.