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