Here is the full list of all 40 Crysis Remastered achievements. It takes around 8-10 hours to unlock all of the achievements on Windows.
Reach the end of 'Onslaught' in the tank you started with
Secure victory in the Battle of Lingshan
Complete 'Contact', 'Recovery' and 'Relic' on Delta difficulty
Complete 'Assault', 'Onslaught' and 'Awakening' on Delta difficulty
Complete 'Core', 'Paradise Lost', 'Exodus' and 'Reckoning' on Delta difficulty
Complete the game on any difficulty
Complete the game on Hard or Delta difficulty
Complete all Secondary Objectives
Kill 400 enemies
Kill 20 enemies with grab
Perform 5 consecutive kills without being spotted by an enemy
Defeat the flight deck invader
Help the marines evacuate
Escort Prophet to safety
Escape the mysterious structure under the mountain
Defeat General Kyong
Enter the mines
Perform a kill with every firearm
Kill an enemy Nanosuit soldier with a Strength punch
Customize a weapon to use all 5 modification points
Kill 10 enemies by throwing an object at them
Proceed to the mining complex
Complete 6 Secondary Objectives
Secure the train station
Destroy 5 enemy tanks
Destroy 5 helicopters
Destroy the cruiser
Kill 200 enemies
Destroy all AA guns around the harbor
Speed sprint 3km
Board the VTOL for extraction
Infiltrate the excavation site
Complete 3 Secondary Objectives
Regroup with Prophet upriver
Rescue the hostage
Kill an enemy 200m away
Tag 30 enemies using the binoculars
Discover the fate of the Lusca's Call
Use all weapon attachments
Pick up an animal