Granarchist I kept my DC's old name tapes too and one set came in most useful as oldest DGS was named after his Dad. Not odd at all rosequartz - most things come in useful one day!
Alima I save zips in a different tin along with tape, elastic and lots of ribbon from eg balloons, bunches of flowers given as gifts, chocolate boxes etc.
Shoe boxes are good for storing DVDs which are gradually building in numbers due to DGC. I keep them in cupboards on their sides so the titles can be easily seen.
Plastic ice cream boxes are great for keeping small toys, cards, lego etc as well as for use on picnics as they can be thrown away once the sandwiches etc are eaten (into a recycling bin of course, if available) Then you don't have to carry them around.
However biodegradable bags are not easy to clear up after a year or two when they disintegrate and the static makes the hundreds of bits stick all over you!
My DS's think I am very sad but if ever they need something guess where they come?!