hi, that sucks. Check out amazon for some component cables or perhaps the nifty hdmi "convertor." I had one for my wii so i could connect to a new tv and it actually worked well. You can set it to 720 or 1080, which is bogus, but it did sharpen up the picture a bit. Just check out the reviews good because some are garbage. Good luck!
What kind of TV is it? A lot of TVs these days come with a little adapter that looks like a headphone jack on one side and the composite/component "female" ends on the other. Maybe post a pic of the back of the TV?
Also, you can always pick up a Wii U that plays Wii games over HDMi.