Resurrecting this because I've just realized that my PS4 hasn't been touched in years now.. (and this is a great topic for an old gamer like me). These are only the games I've actually played and enjoyed, I'm sure there are many more out there, just haven't played them.
Chrono Trigger (SNES)
Secret of Mana (SNES)
Super Metroid (SNES)
Breath of Fire 1-4 (SNES and PS1)
Final Fantasy 3 and 7 (SNES and PS1)
Final Fantasy Tactics (PS1)
Metal Gear Solid (PS1)
Parasite Eve (PS1)
Bloodborne (PS4)
Dark Souls 3 (PS4)