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