The Last of Us Part II in list: sony has added information about backward compatibility and cross-saves on the PS5

• More than 99% of PS4 games will be available on PlayStation 5 launch day, including Ghost of Tsushima, The Last of Us: Part II, and all other Naughty Dog games available on the current generation.
• When users log in to their PSN account on PlayStation 5, they will automatically see their library of PS4 game content in the console menu.
• Some backward-compatible PS4 games will load faster on the PlayStation 5 and get support for the Game Boost feature, which increases FPS. In addition, certain games with unlocked frame rates or dynamic resolutions up to 4K will also see improvements in image quality.
• Some backward-compatible games will get access to new features of the PS5 interface, which the company will talk about later.
• PlayStation VR games with PS4 are also backward compatible on PlayStation 5. you Will need a PSVR headset, DualShock 4 / PlayStation Move, and PlayStation Camera to run them. The new HD camera for PS5 is not compatible with PSVR-to use the helmet on the PlayStation 5, you need an old - style camera connected via an adapter (no additional purchase required).
• All backward-compatible games included in the PS Plus and PS Now subscriptions will be available for launch on PlayStation 5.
• Remote Play is supported by backward compatible games;
• Games and save files installed on the console can be transferred from PS4 to PS5 via a LAN cable or Wi-Fi. If games and saves were stored on external storage, you can transfer them to the PS5 by connecting the drive directly to the console via USB. PS Plus subscribers will be able to sync their saves via the cloud.

Sony also confirmed that the ability to transfer saves between the PS4 and PS5 versions of the same game is being added by the developers and may not be available in separate projects for both generations of consoles.