Diablo 3 is a lot of fun using a controller for direct control of your character, and you can do same-screen mp
Second Son isn't as good as the other inFamous games, and there isn't as much to do, but it is pretty - the standalone DLC First Light is better IMO, it's more focused (and it's only $15)
Destiny is boring unless you play with other people
Metro Redux is nice looking
Sian might like PvZ Garden Warfare, and that's a fun game even if you don't like MP games or FPS, you can do split screen on the Graveyard Ops mode
Get PS+ and the free games every month
Killzone turns into "fuck, we better finish this shit up if we're gonna have it out for launch" about halfway through
Uh, that's about it...