What I mean by "story" is a game that has a nice story to it like The Walking Dead or something. Right now, my favorite story game is Until Dawn.
GTA 5 - (A nice criminal story a about treason and friendship (sorta) which is cool) Wolf among Us - (A great story about the fact that things you did in the past, will still be remembered) Fallout 3 and This War of Mine - (Great stories showing that wars are terrible) Borderlands 2/pre-sequel - (Good story using the "You either die a hero, or live long enough to be evil" with a sad ending) Until Dawn - (Nice story about human psychology and mental sicknesses)
Halo Trilogy- This has a unique story with lots of interesting lore to it Spec Ops: The Line- The story, set in the destroyed opulence of Dubai, has many twists to it, and an interesting ending The Walking Dead- Nothing much to say, a pure, amazing story Bioshock- "Would you kindly?" GTA San Andreas- "All you had to do was follow the damn train, CJ!"
Until Dawn Final Fantasy 13 and Lightning Returns Life is Strange The Last of Us Walking Dead Beyond Two souls Bioshock
Minecraft Story Mode All facts aside, I had a really good time playing this game, and I absolutely loved the characters/story. And at times I felt I could relate to this game.