Probably unusual things that I tend to keep include:
Zip-ties: I use the fine point of an X-acto #11 blade to open up the ratchet, remove them, and re-use them many times.
Dry-wall anchors: I'll remove them and re-use them later
Fasteners: I'll never toss out a screw or a nail, unless the nail is bent, or screw is stripped. Even rusty nails have potential for reuse.
Plastic zip-lock bags: A quick wash and rinse, and they can be used over and over again.
Igniter wires: the solid copper wires from e-matches is so often useful as small hook-up wire. Confession: I've even raided the trash bins at rocket launches.
Zip-ties: I just make sure I cut them on the tail side and throw the loop and head back in a little ziploc bag. Always look there first for a short one before using a new one.
Fasteners: I occasionally scavenge a junk car just for nuts, bolts and other useful hardware items. My magic bolt bins are organized and useful.
Plastic zip-lock bags: I at least get several uses out of them, but do throw them away once they start to look beat.
Igniter wires: the solid copper wires from e-matches is so often useful as small hook-up wire. Confession: I've even raided the trash bins at rocket launches.
I have a bunch of the tiny wire that's included with mid-priced aftermarket car speakers. Have never used it when doing an installation, but kept it all. Now I'm going to look in trash bins at rocket launches. Dangit.