I've had a few ideas for a game that I was never skilled enough to pull off. They were good ideas, so I'll post it here to give people some inspiration.
1. The Idol
The story follows a little boy, aged somewhere along the lines of toddler, who has a shitty life, and therefore is driven out of his house and comes across a cave. In the cave is a statue who speaks to the boy in secrecy, telling him to do bad and evil things that the boy is too young to understand (nothing too adult though lol, don't worry). The game lets you walk around and interact with NPC's and you have the options of kicking them, talking to them, working for them (fulfilling requests etc.), or the cancel option. Eventually people find out about his "Idol" and the boy is too possessed to believe people when they tell him it's bad. Something like that (like I said, just an idea.)
2. The Fenrir
You play as a half human half beast teenager who killed his family during his childhood, so he lives the rest of his life in solitude, acting all depressed from what he did. He comes across a group of war enthusiasts who believe that he could be of use to them, so he works with and for them, trying to forget what he did. During the parts of the game, the group wants to know more about the main character's past, which is where the player also learns about it. That's as far as I got with that idea. Not really sure what the twists would be. Maybe somewhere along the lines of the main character betraying them because he finds out that their views are uncanny in some way?
Whole bunch more, but I'll let you guys cool off before I post them.