Quality holiday cards to share joy with the ones you love. The Gift Wrap Company was founded in 1903, and is still celebrated for high quality, design driven with on-trend packaging and gift wrap. The Gift Wrap Company continues to serve a wide variety of customers looking for gift packaging to express their own unique personality. The Gift Wrap Company gives color, design, pattern, artistry, all occasion, festive and eco-friendly packaging in a variety of shapes and styles.