Here is the full list of all 40 Crysis achievements worth 1,000 gamerscore. It takes around 15-20 hours to unlock all of the achievements on Xbox 360.
Kill 10 enemies by throwing an object at them
Kill an enemy Nanosuit soldier with a Strength punch
Complete the game on Hard or Delta difficulty
Complete the game on any difficulty
Complete 'Core', 'Paradise Lost', 'Exodus' and 'Reckoning' on Delta difficulty
Secure victory in the Battle of Lingshan
Defeat the flight deck invader
Help the marines evacuate
Escort Prophet to safety
Perform a kill with every firearm
Use all weapon attachments
Escape the mysterious structure under the mountain
Complete 'Assault', 'Onslaught' and 'Awakening' on Delta difficulty
Defeat General Kyong
Customize a weapon to use all 5 modification points
Complete 'Contact', 'Recovery' and 'Relic' on Delta difficulty
Tag 30 enemies using the binoculars
Reach the end of 'Onslaught' in the tank you started with
Kill 400 enemies
Kill an enemy 200m away
Enter the mines
Speed sprint 3km
Complete all Secondary Objectives
Kill 20 enemies with grab
Proceed to the mining complex
Destroy 5 helicopters
Complete 6 Secondary Objectives
Secure the train station
Destroy 5 enemy tanks
Destroy the cruiser
Destroy all AA guns around the harbor
Perform 5 consecutive kills without being spotted by an enemy
Board the VTOL for extraction
Kill 200 enemies
Infiltrate the excavation site
Regroup with Prophet upriver
Rescue the hostage
Complete 3 Secondary Objectives
Discover the fate of the Lusca's Call
Pick up an animal