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