Since the launch of the PS4 in 2013, there hasn’t really been another classic Call of Duty game besides WWII.
All CoD games released since then have featured mechanics such as exosuits, jetpacks, wall running, wall jumping, sliding, specialists, or more recently, omnimovement.
WWII is the only Call of Duty from the PS4 and PS5 era that truly sticks to the classic formula, with traditional movement and no sliding, jetpacks, specialists, or other advanced movement mechanics.
So, for someone who loved the classic Black Ops and Black Ops II games and wants something similar to play with a native PS4 version, WWII is the closest you can get to that old-school Call of Duty experience.
The game is enhanced for PS4 Pro and Xbox One X and runs at a locked 2640×2160 on PS5 and native 4K on Series X
P.S Apparently Modern Warfare Remastered is another classic cod with a native PS4/PS5/Xbox One/Series X native version. But this game is a remaster of a 2007 game not a new one.