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