Here is the full list of all 133 New World achievements.
Fulfill 200 Faction Missions, any type, anywhere.
Defeat the boss in the Garden Of Genesis expedition.
Defeat the boss in the Lazarus Instrumentality expedition.
Revive 200 allies.
Reach Arcana skill level 200.
Reach Rapier Mastery level 20.
Reach Logging skill level 200.
Reach Stonecutting skill level 200.
Reach Armoring skill level 200.
Complete 320 quests.
Reach Musket Mastery level 20.
Defeat the boss in The Depths expedition.
Refine 15,000 leather items at the Tannery.
Win 200 Outpost Rush teamplay battles.
Play for 720 hours.
Reach Harvesting skill level 200.
Refine 14,000 items with Looms.
Refine 14,000 items at Woodshops.
Harvest 50,000 items using a harvesting sickle.
Reach Bow Mastery level 20.
Win 100 Outpost Rush teamplay battles.
Reach Smelting skill level 200.
Reach Life Staff Mastery level 20.
Personally defeat 10,000 other players.
Craft 6,000 Arcana items.
Personally defeat 5,000 other players.
Reach Hatchet Mastery level 20.
Defeat 10,000 Aeternum enemies while in groups.
Get 32,000 items using a skinning knife.
Reach Great Axe Mastery level 20.
Reach Mining skill level 200.
Win 25 Outpost Rush teamplay battles.
Reach War Hammer Mastery level 20.
Reach Spear Mastery level 20.
Craft 4,000 Engineering items.
Collect 175,000 Gathering type items.
Play for 320 hours.
Defeat the boss in the Dynasty Shipyard expedition.
Reach Fire Staff Mastery level 20.
Refine 14,000 items in Smelters.
Personally defeat 500 other players.
Craft 500 Furnishing items.
Win your first Outpost Rush teamplay battle.
Reach Ice Gauntlet Mastery level 20.
Reach Straight Sword Mastery level 20.
Reach character level 60.
Reach a Covenant rank of 5.
Collect 24,000 wood using a logging axe.
Mine 32,000 items using a mining pick.
Kill 100 rabbits.
Play for 160 hours.
Reach Tracking & Skinning skill level 200.
Kill 100 turkeys.
Reach character level 50.
Die 50 times (you seem to like doing this).
Kill 100 boars.
Craft 100 Armoring items.
Complete 100 quests.
Craft 75 Jewelcrafting items.
Refine 500 items on Stonecutter Tables.
Purchase your first home.
Fulfill 50 Faction Missions, any type, anywhere.
Dispel 25 Corruption Breaches.
Reach character level 40.
Defeat the boss in the Starstone Barrows expedition.
Craft 100 Weaponsmithing items.
Play for 80 hours.
Reach character level 30.
Repair 25 inventory items.
Join the Covenant.
Refine 500 items at Woodshops.
Refine 250 items with Looms.
Craft 100 Arcana items.
Reach character level 20.
Die for the first time. Well, that surely won't happen again.
Refine 500 leather items at the Tannery.
Craft 100 Cooking items.
Refine 300 items in Smelters.
Mine 1,000 items using a mining pick.
Get 1,000 items using a skinning knife.
Craft 25 Furnishing items.
Collect 1,000 wood using a logging axe.
Craft 100 Engineering items.
Harvest 1,000 items using a harvesting sickle.
Search your first supplies container.
Reach character level 10.
Craft 4,000 Armoring items.
Craft 8,000 Cooking items.
Craft 3,000 Jewelcrafting items.
Craft 4,000 Weaponsmithing items.
Refine 14,000 items on Stonecutter Tables.
Search 10,000 supplies containers.
Reach Cooking skill level 200.
Reach Engineering skill level 200.
Reach Furnishing skill level 200.
Reach Jewelcrafting skill level 200.
Reach Weaponsmithing skill level 200.
Reach Leatherworking skill level 200.
Reach Weaving skill level 200.
Reach Woodworking skill level 200.
Reach Fishing skill level 200.
Get all Trade Skills up to 200.
Have a Territory Standing of 300.
Join the Marauders.
Reach a Marauder rank of 5.
Join the Syndicate.
Reach a Syndicate rank of 5.
Fulfill 500 Faction Missions, any type, anywhere.
Fulfill 1,000 Faction Missions, any type, anywhere.
Fulfill 4,000 Faction Missions, any type, anywhere.
Complete the fishing quest arc that starts with 'Fishing With Shields'.
Win your first War.
Win 10 Wars.
Win 50 Wars.
Win 100 Wars.
Kill 100 cows.
Win your first Invasion.
Win 10 Invasions.
Dispel 5,000 Corruption Breaches.
Win 50 Invasions.
Win 100 Invasions.
Dispel 500 Corruption Breaches.
Own 3 houses you can travel between.