I only saw this posted in a reply to the Free PSN stuff thread, but seeing as it is limited I thought it might deserve some attention here.
By downloading and using the E3 app on your PS4, you can get access to the Playstation Now Closed Beta.
Right now the supply is depleted, but there's a message that says there will be more today at 12:00 PM PDT / 3:00 PM EDT.
I claimed mine yesterday but haven't had time to try it out, but the games available to play through it are:
All Zombies Must Die!
Ben 10 Omniverse
Big Sky Infinity
Dead Island Riptide
Eat Lead: The Return of Matt Hazard
Sniper Ghost Warrior 2
Hunter's Trophy 2 - America
MX vs ATV: Alive
Oddworld: Stranger's Wrath HD
Overlord: Raising Hell
Papo & Yo
Poker Night 2
Rocketbirds: Hardboiled Chicken
Tales from Space: About a Blob
Way of the Samurai 3
All games are free, and since the open beta doesn't start for over a month I assume you will be able to access these at least until then.