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@OP, yes. The Wii even comes with a free 4 player game, and the whole philosophy of the console is bringing friends and family together to play games together in the same room. I can't get my Wii online right now, but it still has awesome 4 player action. It even has 8 player local Bust-a-Move.

But I do recommend connecting it to the internet for the Virtual Console and WiiWare games. They have several classics and gems on there, including several 2-5 player games from every generation.