Depends on what you mean by garbage. Something that would decompose or otherwise cause a problem is a hell no. Cardboard is one of those exceptions simply because it's easy to store it in a way that prevents problems occuring, and it's trivial to recycle the older pieces as you obtain newer. Mind you, I just keep unfolded boxes in a bin, tightly packed.

When we get something in the mail, the new box goes in, the oldest goes out.

Means we have cardboard for projects, as well as boxes for shipping/Christmas/whatever, but we don't end up with critters making use of it. If critters did infest the bin, it's easy enough to dump and burn, then clean the bin.

I tend to keep jars and bins of hardware in the shed. Very useful for sure. And I keep a bin of useless computer parts for art projects. You'd be amazed how often kids and young adults get assigned "found materials" projects if you aren't known for being the go-to guy in your family for help with such things. While those supplies are space limited, the bin of computer/electronics parts are tucked away along with a box of "cool looking shit", and I keep basic art supplies around anyway.

Having a good sized shed and a big attic help lol

I dislike waste on principle, and I have enough space to keep a reasonable amount of stuff "in case", so there I am. I also have a corner of the attic that has durable medical gear I picked up over my years in home health. It's dwindling now, what with relatives getting older and my own disability, but as the items get used and no longer needed, they come back until they can't be reasonably passed on again. But some of those that reach end of life have gone into the "cool shit" box lol.