If you're into hiking you'll have no end of great stuff to see there. With three weeks you should have quite a bit of time to cover a lot of the South Island so go see it. The West coast is pretty cool, the Fox and Franz Josef glaiciers are pretty amazing and the scenery in general is stunning.
If you're not into the touristy stuff your best bet is to hit the trails, so many good things to see that way.
You might also try putting this into the Australia forum for some more specific feedback. Also do a search and you should find one of my old threads about my short trip and what people suggested.
Have fun.
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