Werewords is a MUST! its social deduction without lack of direction or difficult choices. You just spout off questions. The deluxe version goes to like 20 players.

A Fake Artist Goes to New York is great fun. Social deduction again. Can really play with any amount of people but it does make the game much slower.

Incan Gold goes to 8. It's push your luck

Citadels goes to 8. City building deduction style game.

Coup is pretty good as far as social deduction goes, but only goes to 6. Check out Coup Rebellion: G54 for replayability if it sounds like something your group would like .

Welcome to.. technically doesn't have a player cap. It's flip and write and works well as a casual game