Will definitely play Ground Zeroes
They should be "Purchased" if you search for them, but like you say it's a case of needing to know what you've got access to.
It may be worth you keeping an eye on your download list on the Playstation Store site instead of on PS3, since it actually works. Although you'd have to search and download via PS3.
https://store.playstation.com/#!/en-gb
Holy crap I don;t know any of those games
Only 2 for PS3 this month
I haven't noticed anything interesting for PS4 either
Spoiler warning: