I was wrapping a final round of presents and I didn't have enough paper or labels. I realized I had a color printer. And lots of great photos of the people we were giving gifts to. So all I had to do was print pictures of a gift's recipient on several sheets of 8.5" by 11" paper, fold and tape the sheets together to cover the key portions of the present, ensure that the face got central position on the packaging, and voila: no need for a label! For extra effect, use pictures the gift's recipient has never seen.
Depending on the size of the gift, you may have to use other bits of contact paper to hide portions of the gift. I feel like this style of 'wrapping' is more about providing the moment of opening-discovery, not trying to wrap the present tightly as if it was being probed by a 7 year-old.
This is a photo of the top of a present to my wife Lisa, two prints used on the top, taped together, featuring the moment we saw that the angel wing mural in northern Oahu had been rendered in the colors of the dress Lisa was wearing!