A game which gives you a situation a deep emotional situation and then challenges you on what would you do. The game will have no clear guidence and it would be up to the player on what they want to do.
For example a situation ripped straight form 99% of all redemption movies is that you are in the wrong place at the wrong time and because of that Mobsters come to your house and kill your entire family but you survive the attack, in any game now you would do some scripted linear missions on what they designers believe you would do for revenge but what if you are in control of what you do next. What do you do when your first get out, do you move on forget everything, do you help the police and use justice to bring down the mob, do you go undercover , break into the mob ranks and find the killers and lay down revenge or do you go all out murdering rampage and take down the entire mafia or maybe a mix. You would be let loose on a rich vibrant open world where your mafia people do there business in real time like everyone else making you have to plan your revenge and make sure everything goes to plan just like in the movies.
Problem is, designing all those possibilities would take a long time and alot of manpower and money so its differently a dream game.
Of Course That's Just My Opinion, I Could Be Wrong