Game Seeds is a brainstorming tool for designing video games in the form of a card game.
Players booster draft six cards, and then use the symbols on the cards for which they have a plurality as the basis for a hero for their game. Then they switch heroes and create a sidekick. Then, if playing with teams, they pitch a game based on the hero and sidekick.
I’m not sure you can find every game available using this method – in fact, it looks like you’re limited to a pretty limited game space – but you might come up with something.