There's not a massive difference in the focus of the games made today versus those made in the past, the key differentiator is the level of competency in story telling and characters.
Games like Resident Evil (especially 4), the original God of War series, Final Fantasy, Metal Gear, Halo, Grand Theft Auto, Shenmue etc were always story and character heavy games, it's just they weren't always particularly well written or acted.
In comparison, games like TLOU, UC2 RDR2, GTAV, God of War (18) etc are just far better realised in these areas. Ultimately, it isn't that they're any less fun or gameplay focused, it's just that the stories, writing and characters they have are on the whole much better than what we had in the past.