Perhaps the piece that pushed the GC disks into place is stuck. Hold your ear up to the Wii and listen for the disc spinning. If it isn't spinning, it is either not in place or the censor that tells the Wii media has been inserted is damaged. If that is the case and you are under warranty, call Nintendo and have them fix it.
If not, unplug the Wii and shake the drive gently to listen for foreign matter. Hopefully whatever is loose isn't important and you can safetly fish it out with a paperclip or something.
Also, you can try one of those DVD cleaning disks.







