End of Year sale running until December 23, 2019 at 8:00am PT.
Before we dip into the full list of games, let me share my highlights. On PS4, I'd take a look at:

That's only a fraction of the sale, but I think it represents a good sample of new and old experiences. Also, as a side note, if you got the original non-Gold edition of Resident Evil 7 but never bought the DLC, I'd strongly encourage you to play Banned Footage Vol. 1 ($5.99) and Vol. 2 ($8.99). Do it for Unky Joe.
On PS3, you can pick up games like Metal Gear Rising Revengeance ($7.49), Persona 4 Arena ($8.99), Silent Hill ($2.99), and the Suikoden line (the first game is $2.99; II, III, and IV are $4.99 each).
And on Vita, you'll find Metal Gear Solid HD Collection ($7.49), Persona 3: Dancing in Moonlight ($19.99), Persona 4: Dancing All Night ($12.49), Persona 4: Golden ($9.99), and Steins;Gate ($6.99).
I'm trying to cut down on my video game spending, Sony. Don't tempt me!
Close Out the Year with Big Savings at PS Store [PlayStation Blog]