
I like story driven games for sure. but I also like mechanically driven games like 4x games and tactical rpg's. then there's games like Mario games which are just fun mechanics. I do tend towards story driven games when I am looking for games, but I can also enjoy games that aren't story driven.
but what I like most of all are games where you make your own story, like in a game like Etrian Odyssey where you create your own characters and make up your own stuff about them, or choose your own adventure type games.
A game like Bayonetta, I appreciate the mechanics, but find the story so tiresome I can't stand it. same thing goes for Disgaea. I know those games are good, but the story is so silly i can't stand them.
I like games for the experience they give that's better than passive media. sometimes those experiences are driven by mechanics, like in just fun Mario games, or by stories in like Life is Strange.