@Felthry @IceWolf I don't know you well enough to know what you'd enjoy, but I can at least list off some of the metroidvania-y PS4 games I have.
Oure, Vane, Seasons after Fall, and Fe all have no combat whatsoever, but varying amounts of clear story to them. I enjoyed all four quite a lot.
If you allow for combat, then there's also Hollow Knight, Hob, and Ōkami HD, which I think are all excellent games.
Shadow of the Colossus does technically have combat, but it's more of a puzzle really.
@Felthry Ah cool!
Yeah HZD's great for open-world and strong story.
Hmm... we've heard good things about Monster Hunter World. Open-world definitely, although we don't know how much story it has.