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