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