sausage88's port runs the Source engine and Valve's Linux game code on a jailbroken PS4, at 60 fps through most of Half-Life 2. You need the games on Steam and a PC or Mac to install them.
Orange Box SP
The open source launcher finds, installs and updates native ports from each developer's GitHub, always using your own copy of the game. Beta 22 came out on November 7, and Linux is next on its list.
RecompLauncher beta
TheRealRetro has ported mupen64plus-core 2.6.0 to the PS5 as a home menu app, with a dynamic recompiler, DualSense rumble and save states. Version 0.7.5 adds cheat search.
Mupen64Plus 0.7.5
The WebKit chain that covered 13.02 to 13.52 now reaches 14.00 through a GoldHEN beta released on November 3. Sony shipped 14.02 a day later with security fixes and no public method exists for it, so stay on 14.00 or lower.
GoldHEN 14.00
Version 26.07-14.22.00 arrives less than two weeks after 14.20 with no visible changes. No 14.x firmware has a public exploit, so anyone on 13.60 or lower who wants homebrew should not update.
FW 14.22