Have you thought about switching to using cloth bags for your gift giving? I see after Christmas a lot of wrapping paper and materials in the recycle bags. It is fun to rip into paper-wrapped gifts, but the amount of waste is mind boggling (even if they are supposedly "recycled").
Simple string bags are easy to make, and you can ask the bags back to be used again and again. Or you can ask the gift receivers to use them for something else.
There are so many tutorials online if you look. If you are too busy to make them, I can make them for you. I can make between three and four bags per hour (depending on whether you want the edges of the fabric serged or not).
Or you can come take a sewing lesson to make them yourself. One hour should be enough to make a bag if you already know how to sew a straight line on the sewing machine.