I used this idea of curtain clips to hang my wrapping paper on the back of the door. I didn't want to put holes in the door though, so I bought an inexpensive bathroom organizer/basket that hung over the back of the door. Then I tied the clips to the bottom of the basket and used them to hold each tube of paper. I put my boxes of Christmas cards in the basket. Worked great!
Also on these boards
and my solution is just get rid of all of that stuff and then...no need to store it. but i understand some people wrap gifts as a hobby...creative expression...stress relieve...in that case...there are your supplies!
My Seasonal Items Closet - I NEED YOUR VOTE
Seasonal item storage...gift wrap, cards, totes for each season, etc.