Often available as part of the PlayStation Plus Deluxe/Extra catalog.
This was the first time the original game appeared on consoles, rebuilt using the CryEngine 3. It introduced 720p HD graphics and stereoscopic 3D support for capable TVs. Crysis HD PSN
The modern versions include higher-resolution 8K textures, improved draw distances, and more detailed environments compared to the original PS3 versions. Often available as part of the PlayStation Plus
Crysis HD on PlayStation: A Complete Overview The "Crysis HD" experience on the PlayStation Network (PSN) primarily refers to two distinct eras of high-definition upgrades for the legendary first-person shooter: the original 2011 PS3 port and the modern series available for PS4 and PS5. The Evolution of Crysis on PSN improved draw distances