- Wrappy Paper As holiday season is upon us and the gift of giving is in full swing, most of us are preparing accordingly. The gifts we give to our love ones are precious and the presentation should be treated with a keen eye for detail. This is where Wrappy Paper comes in. The NYC based gift wrap company was created with game-changing intent to refine the way we think of gift wrap. With a number of gorgeous designs, they are unlike any other company on the market.