Can you be a little more specific? What do you mean by "wireless internet adapter"? The Wii already has built in wireless, so there's no adapter needed for that.
Do have any WiiWare or Virtual Console games? If so, do those work?
Do any disc based games work at all? On your main Wii screen, do they show the game logo on the disc channel?
Is your Wii modded in any way?