Here is the full list of all 28 Jamestown+ achievements.
Survive the Gauntlet on any difficulty.
Revive a teammate using a revive token.
Complete any mission on Judgement difficulty.
Defeat the Pirate Queen.
Defeat the Matriarch.
Pacify the Heart of Mars.
Score 250,000 points with a single Vaunt combo.
Defeat the Conquistador.
Defeat the Last Express.
Complete any mission with a 5-star rating.
Defeat the Dread Sentry.
Complete Dark Sector as Treason.
Defeat the Lady of the Lake.
Complete any of the challenge levels.
Defeat the Traitor Prince.
Locate the Lost Colony of Roanoke.
Earn all other achievements for Jamestown+.
Survive the Super Gauntlet on Legendary difficulty or higher.
Survive the Gauntlet on Divine difficulty or higher.
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.
Survive the Gauntlet as Fortune on Legendary difficulty or higher.
Complete Croatoa as Ghost.
Complete New Madrid as Gunpowder.