Here is the full list of all 32 Legends of Persia achievements.
Killing 1000 enemies
Died 8 times
Died 3 times
Killed demon and released allies
Finish game in easy mode
Finish game in Normal mode
Finish game in hard mode
Finish game in easy and hardcore mode
Finish game in Normal and hardcore mode
Finish game in hard and hardcore mode
Killed 5th boss
Killed 4th boss
Using your skills for 500 times
Used 50 potions
Breaking 100 items
Killing 400 enemies
Dealing more than 12000 damage
Killed third boss
Using your skills for 200 times
Earn 3000 gold
Killing 200 enemies
Using your skills for 100 times
Used 10 potions
Using your skills for 25 times
Earn 1000 gold
Trade first item
Dealing more than 5000 damage
Breaking 25 items
Killed second boss
Killed first boss
Killing 50 enemies
Earn 300 gold