Here are some Achivments that you can earn in Warriors: Legends of Troy:

First Blood! (5 points): Kill a special enemy.
"Twentieth" Blood! (10 points): Kill 20 special enemies.
No Mercy! (10 points): Perform 20 Finishers.
I'm Just Getting Started... (10 points): Kill 1000 enemies.
It's over 9000!!! (25 points): What! 9000 (kills)? There's no way that can be right! Can it?
First Action Hero (10 points): Defeat an enemy hero.
Practice Makes Perfect (15 points): Perform 100 Perfectly-Timed Attacks on enemies.
Now That's Just Mean... (5 points): Kill 10 fleeing enemies by throwing picked-up weapons.
No Vacancy (25 points): Complete a chapter with enough items equipped to completely fill the largest item grid.
I Like Choreography (25 points): Perform 3 different Finishers with each hero.
A Lot of Blood (10 points): Kill 50 enemies while in Fury.
A Perfect Amount of Blood (25 points): Kill 496 enemies while in Fury.
Denied! (10 points): Perform a parry on an enemy's parry in a duel.
I Love Items! (5 points): Buy 10 items.
There's No Escape! (5 points): Kill a fleeing enemy by throwing a picked-up weapon.
They See Me Rollin', They Hatin' (10 points): Perform a rolling Quick Attack on an enemy from behind.
That Wasn't Too Hard... (50 points): Complete the game on Hard or Expert difficulty.
I'm Really Good at Action Games. (70 points): Complete the game on Expert difficulty.
Perfect! (10 points): Perform a 6-hit combo of Perfectly-Timed Quick Attacks on enemies.
Without a Scratch (30 points): Complete a chapter without being damaged on Hard or Expert difficulty.
Are You Tough Enough? (30 points): Complete a chapter without equipping any items on Hard or Expert difficulty.
Gordie Howe Hat Trick (5 points): Complete the Arena, Rampage and Bloodlust challenges.
Time Extension! (15 points): Maintain your Kleos for 3 minutes during a chapter.
Bless You (15 points): Collect a Blessing.
A Lot of Time on Your Hands (55 points): Complete all secondary objectives on any difficulty.
Items Make Games Awesome (75 points): Buy all of the items.
Here Comes A New Challenger (5 points): Reach Hektor in the Epic Bloodlust challenge within 10 minutes.
Epic Success (30 points): Complete the Epic Arena, Epic Rampage and Epic Bloodlust challenges.
Life is a Blessing (25 points): Collect all Blessings in a chapter.
The Underdog (15 points): Win a duel after entering it with critical health.
By the Gods! (25 points): Kill 500 Trojans in Plague on Expert difficulty.
10-Second Knockout (10 points): Defeat an enemy hero in under 10 seconds.
Efficient Killer (5 points): Perform a Finisher on each of the 6 special enemy types.
Too Fast to Furious (10 points): Completely fill the maximum fury meter in under 2 minutes without using items that generate fury.

Additionally, there are 16 secret achievements:

Cry Me a River! (25 points): Escape Skamandros.
Knock, Knock! (25 points): Open the gates of Troy for the Greek army.
Farewell, Troy... (50 points): Complete the game on any difficulty.
From Paris with Honor (25 points)
Defeat Menelaos in a duel for the hand of Helen.
Where Is Your God Now? (25 points)
Bring down the statue of Apollo.
I'm Too Old for This Shi...p. (25 points)
Escort Agamemnon to the Greek ships.
Miss Kleos (15 points)
Achieve 350 Kleos with Penthesilea during a chapter.
Face That Launched 1000 Ships (55 points)
Unlock all of Helen's concept art.
Stop with the Sibling Rivalry! (3 points)
Do not attack Hippolyte when she comes to haunt you.
Zombie Homicider (3 points)
Perform a Finisher on an enemy zombie.
What a Waste... (2 points)
Miss all of your attacks while in fury.
Epic Failanx (2 points)
Break the shields of everyone in a phalanx without killing any of them.
This Is a Non-Smoking Section (15 points)
Get 3 enemy zombies hit simultaneously by Lyssa's ground smoke attack.
Getting Kicked Down There... (15 points)
Get 5 enemy zombies kicked by the statue of Apollo.
7 of Clubs (15 points)
Get 7 enemy soldiers killed by the Cyclops.
Hard Target (15 points)
Defeat the Griffin without getting hit by any sand pillar attacks.