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