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