Some games give you a story that sticks with you and you love them for that (Half-Life, To The Moon, Bioshock Infinite). Some give you an experience that sticks with you but no story to speak of (like Doom and Doom II, which I still play).
What I dislike is having to deal with people in my games. I already do that in reality, thank you very much.
Hang on, that is a single player game? I now auto-discard AAA games up front because most of them are online multiplayer affairs with fancy in-game items to purchase and silly anti-cheat gimmicks that give Linux users a hard time.