I'm sure other people may have mentioned these games, but to further validate the games, I think everyone should platinum:
Overwatch - Has many luck based trophies, but don't let it deter you from its awesome gameplay. It's one of the few games I go back to despite having the platinum
Monster Hunter: World - RNG trophies may be a turn off, but like OW it's one of the few I go back too, I'll go back for Iceborne once it goes on sale
Marvel's Spider-Man - Just an excellent game all around
The Last of Us Remastered - Engaging story, and I had a pretty good time with the multiplayer (I got 100% on the original PS3 version, but I'm sure the PS4 version is even better)
Astro Bot: Rescue Mission - If you plan on getting or have VR, this is a definite must.
Bloodborne - A true masterpiece. If Souls isn't your type of game, still give it a try, once you learn the ebb and flow of combat, it becomes insanely addicting.
Nioh - Get this while it's still free! If you platinum Bloodborne, then go for this as well!
God of War - Nothing much to say, but it's a game everyone should play.
Stardew Valley - Granted, Fector's Challenge may be a barrier to the platinum, it is still a game that should be experienced.
The Witcher III: Wild Hunt - One of the best open-world games out there, and all the branching story lines will have you coming back for more.