Here is the full list of all 40 XIII achievements.
Find your first document.
Kill an enemy with the last bullet of the revolver.
Find your first collectable item.
Reach the truck in Brighton Beach.
Complete the campaign on easy difficulty.
Complete the campaign on medium difficulty.
Complete the campaign on the highest difficulty.
Complete a level without being damaged.
Make it through a level without shooting anyone.
Die more than 25 times.
Have XIII drown.
Eliminate 5 enemies in a row without alerting them.
Eliminate 15 enemies with a headshot in one level.
Eliminate 5 enemies with your fists in a row.
Stab 15 enemies from behind without being noticed.
Destory the armor of a fully armored enemy, then kill him with a melee attack.
Eliminate 10 enemies without getting hurt.
Find 10 medkits.
Eliminate 6 enemies with one magazine of the Revolver.
Eliminate 5 enemies in a row with a headshot with the Dragunov.
Eliminate 3 or more enemies with one grenade.
Unlock 15 doors.
Kill 4 enemies at once with the Bazooka.
Get 20 pieces of armor.
Get full armor.
Swings from a grappling hookc to another 3 times without touching the floor.
Eliminate 20 enemies with improvised weapons.
Empty the Revolver using the alternative fire mode without missing any shots.
Crash everything at the beach house.
Destroy a punching bag.
Escape the Canyons on a jet.
Complete the Sanctuary cliff section in under 3 minutes.
Find the secret entrance to the Sanctuary.
Find a way into Emerald Base.
Find 5 documents.
Find 10 documents.
Find 15 documents.
Find all the documents.
Find all collectible items.
Obtain all achievements.