Good Xbox 360 Games: Tell Me Your Taste

The 360 library is huge. To recommend, I need your preferences:

• Genre: Shooter, RPG, open-world, platformer, racing, fighting, puzzle, strategy?
• Favorites: Halo, Gears, Mass Effect, Fallout, Forza, Batman, Red Dead, Bayonetta, Dark Souls, Minecraft?
• Mode: Single-player story, co-op, competitive MP, couch co-op?
• Tone: Serious, funny, scary, chill, competitive?

Reply with 2–3 favorites and I'll give a tailored top-10.