No doubt, the most influential board game in China is War of the Three Kingdoms(SanGuoSha)

About War of the Three Kingdoms: Standard Edition, from BoardGameGeek:

War of the Three Kingdoms is a tabletop card game that supports up to 10 players simultaneously. In the game, each player will randomly receive one of the four roles: Lord (Zhu Gong), Loyalist, Rebel, or Spy. Players take on the role of a historical figure from the Three Kingdoms period and use their character's abilities to eliminate opponents and win the game. Restore China's ancient battlefield, internal worries? Foreign aggression? If you are the lord，Unite your loyal retainers to repel foreign enemies, uncover the traitors who cause chaos in the dynasty, and win the victory. Here, you and your friends will play as well-known figures from the Three Kingdoms period, unleashing their special skills to fight on the battlefield, each with specific skills to defeat them using your strategy. -description from the publisher