For me, the bag is not only part of the gift, it's probably the best part. One of my hobbies these last 2 years is making bags for gifts. I paint them, decoupage them, add decorations & paper flowers, wrap the handles in ribbon, and shellac them. My family really only wants gift cards, and food, so the bag is where I get to express my feelings.
I also make my one gift tags, and will throw in one or two blank tags into the bottom of the bag so that the recipient can forward it on to someone else (after all the painting and shellacking, they are pretty sturdy).