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