When you are making an actual gift, make sure to completely buff out any scratches, relief lines, and low spots. Otherwise they distract from the gift.
For larger rings cut a section of ring out and straiten it. Form a piece into an oval and link the rings together. The oval shape keeps the rings stacked on each other.
For very small loops take a straitened section of ring and spin it in your drill press. Shape the ring section into a wire. Form the wire into a lollypop shape. Drill holes in the other rings. Thread the drilled holes onto the lollypop shaped wire. Peen the other end with an engraver. Check out my hoop earrings instructable for the micro hammer.