I know there are some games which stories just changed all. Stories that got us involved in for a long time. Those stories became a really important part of our favorite video games libraries.
I'm just thinking about games I really enjoy because their stories are simply amazing. And so, this is my Top 3:
Last of Us.
This story of a surrogate father and daughter fighting for personal survival, forging bonds, and looking toward the survival of the entire human race is at times triumphant and others painful.
The Witcher.
The kind of story you will enjoy playing for 200 hours. No doubt. It's a complex but classic story of knights, witches, magic, gods, betrayals, transformations and love. Put everything together and let the story both hits and subverts fantasy and adventure. You can't blink your eyes or you'll loose something important about the game.
Zelda: Ocarina of time.
Probably the best game I've played in my whole life. Not only for the story (it's another Link story more, yeah, but deeper), but also for what it means to me (my early times playing video games).
Obviously, there are much more games to talk about (Bioshock, for example). What are your Top3 Story Games?