I've ironed tissue paper and wrapping paper too, you should see the big box of tissue, paper and gift bags I have. After we open our Christmas gifts I put all the wrappings into a large shopping bag. Later I remove all usuable paper, ribbons, etc. and also check to see that a gift wasn't discarded by mistake.
Guess I started early because as a kid we wrapped gifts with white tissue paper and used glue to hold it shut. Any gift boxes and tissue we received were saved. That's back when department stores gave you nice boxes with covers and put tissue paper around your gift inside. I used to buy my godmother a hankerchief for Christmas, it costs $1 and the sales gal put it in a special hanky box with tissue paper in it. No other wrapping, ribbon or gift tag was needed. Nowadays we're lucky to get a flat gift box and never stays open correctly. May in Jersey