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