As for the items that are broken, not wanted, or possibly have value for someone else but not us, we need to decide if they have any remaining value that someone else would appreciate. Would someone pay for them on a site like eBay or Craigslist? Would a local charity appreciate having them for their thrift store? Are they just trash that needs to be discarded or recycled?
Some items may have been purchased to start or add to a collection. While they had some value to us as we were collecting them, the real question is how much value anyone else may find in something that was personal to us. If there are others interested in our collection, how do we find them and what would they be willing to pay to have it? It may turn out that the time for such a collection has passed, that they aren't really saleable, and they should just be discarded.
If the items are not desired by us any longer - for whatever ever reason - and we don't feel that anyone else would pay money for them, why kid ourselves into thinking they have value? Some items are just junk and we need to recognize that fact.