Yakuza 3-5:
Much like the current games in the franchise these are all a lot of fun with solid gameplay and engaging stories. If you are starting with 3 Keep in mind that the opening hours are a bit of a low point for the franchise, but once the story actually starts moving it's great.
Killzone 2-3:
Not sure if the online modes are still active but the single player is fun and I think worth it for the low price you pay for these games now
Infamous 2:
Honestly, skip the first one. It wasn't that good back then and has aged poorly. Make sure to watch a story summary online though.
But the Sequel is great. They made massive improvements to combat, movement and visuals and it's still one of the most fun open world "superhero" games out there
3D dot Heroes:
Yes, it's a Zelda 1 clone. But it's not some cheap ripoff.
Both the gameplay and level design are great and it has a really cool and unique visual style.
Tokyo Jungle:
Easily my favourite local Coop game of last gen. It's a survival game where you play as various animals and the objective is to live for as long as possible, which means that You'll have to hunt for food, escape predators, reproduce to keep your bloodline going and escape an ever growing toxic mist...all set in a post apocalyptic tokyo.
It also keeps increasing the dangers in an enjoyably over the top way. So in the early stages you might be fighting packs of wolves but by the end you'll be fighting lions, sneaking past gorillas and escaping from Raptors.
It also constantly keeps rewarding you by unlocking new animals so it's constantly making you want to play "just one more run"