Not sure how creative this is, but it has been something of a running joke in our house for years now...
There's always at least one gift wrapped in brown paper(think grocery bag) and tied up with twine, yarn, whatever. The catch to this gift is lots of knots and lots of tape. It's all about the getting into the package, the recipient is not allowed to to cut the knots or tape; they must untie enough to slip it off package. Keep in mind this has become a family joke. Gift is usually a nice one, just one of the last to be wrapped for that person.
The other part of this joke is a gift wrapped in about half a dozen or so WalMart bags. Don't know why, but always seems to be Wally bags and not someone elses. We put the gift in a bag. Tie the bag closed with the two handles. Put the knotted end down into the next bag, tie it's handles etc. This is usually the gift found in the hiding place or someplace it shouldn't have been Christmas morning that did not get wrapped.
OK, so tell me that never happens at your house.
sometimes the overly tied up gift and the plastic bag gift are the same one...but you get the idea.
Not the most beautiful gifts under the tree, but the most fun anyway.
We've also done the box in a box in a box routine. This works well with things easy to identify by shape. (CDs, books, etc)
One of my more creative wrappings was to use computer green bar paper. Great for the computer nerd in the family. I ripped off the toggles(holey part) and made a bow out of them by making loops and taping one end down into a bow. Came out pretty neat. The gift was for my advisor and I did not want it widely known I was the one giving it to him, it was something of a joke, and I was his only student who was a computer major; so he knew exactly who it was from. I bet I can guess what you're thinking, Don't go there, it was a tie tack.
I won't be offended if you opt to use some of the other, more attractive; but certainly less fun and wayyyy more boring alternatives the others are suggesting.