Used condoms (you can turn them inside-out).
Yes, I see the older ones quite often, along with those 200-lb antique exercycles. I guess the scrap metal guys would want those on big trash day.
How topical! This week I couldn’t find anyone who wanted a perfectly operational 19" ViewSonic CRT, so I hauled the big boxy thing to an electronics recycling center late last night.
Mattresses, Cribs, Children’s Car Seats, Strollers…
Some of those aren’t functional - used car seats aren’t guaranteed to be safe, so might not be covered by insurance, and used mattresses are icky.
CRT TVs and monitors also aren’t really usable any more. However, I was surprised when nobody wanted a working two-year-old 20" flatscreen monitor. We kept it as a spare in the end.
I second the comment about sofas. We got delivered two identical ones by mistake and, when the company eventually said just to deal with it ourselves, nobody wanted it. Fake leather but looked nice, chocolate brown, no marks, practically unused, folded out in seconds to be a very comfortable sofabed. You’d need a van to transport it, but it wasn’t heavy and I live on the ground floor.
I posted everywhere online (with photos) and in local shops and eventually had to dump it.
There’s actually a very niche market for CRTs: competitive PC gamers who believe CRTs provide lower screen refresh latency than flat screen models. Whether or not it’s true (or significant enough to notice) I have no idea but I’ve heard it come up before.
The issue is these people don’t want to game on your old 15" monitor and the sorts of CRTs they do want, people aren’t throwing away.
Car seats are difficult because of all the government restrictions so no one wants to deal with used ones. I set mine on the curb and someone grabbed it but you couldn’t give it to Goodwill, Once Upon A Child, etc.
I read an interesting article on this recently. (I live with a Steinway B, so it was of particular interest). It seems that the huge days of every house having to have a piano peaked in the late 1920s and persisted through the start of the war. There were dozens of brands, most of which had actions good for about 60-70 years before wear would have forced a complete rebuild or major refurbishing.
That huge glut of “grandma’s pianos” is now wearing out in ways that are not easy to fix, even if they’re a family treasure. Few are worth the cost of a full rebuild. So to the dump they go. Only the top-tier ones are being salvaged and rebuilt.
They took two of mine… I unloaded them out by the back door and zoomed out of there before they could say anything. 
Not only have I bought a used CRT TV in the past few years, I’ve bought a (gently) used mattress, too. :o
Freecycle.org is a great place to get rid of anything! I’ve used them for all my baby goods - crib, high chair, etc. as well as furniture and a working but old stove. You can only post things for free and they are arranged by area, so locals can respond and will pick up. You’ll get response from college students, needy single moms and everyone in between. Great resource.
I think that’s where this stuff is not being taken. Certainly I posted my sofa on freecycle.
No myth. The first generation of low-flush toilets were, well, total crap. It frequently required multiple flushes to get rid of your business. Newer models are much better, but there are still plenty of people who are willing to pay for older toilets.
My offering: old computer games. I have 2 boxes of PC games which I have periodically tried to sell. Only a tiny handful of people have any interest in them at all, and then only if they are in the original box (most of mine aren’t). A few have sold at garage sales, but most of them might eventually end up in the trash.
I can also testify about excercise machines. We have one of those skiing-motion-type machines. Postings on Craigslist and flyers posted in coffee shops & hardware stores haven’t brought a single peep of interest. We might eventually just put it on the curb and let the scrap metal scavengers take it.
Are people getting old high-flow shower heads too? I’ve never used one a low-flow one I like, the one at my house is original to the 1960s and I love it. I have gas hot water heat so it’s not too expensive to use it.
I gave up on freecycle because it seemed that everyone wanted their free stuff delivered to their door.
West Virginia?
Yes, other places as well.
There is one, but it’s pretty small. I knew a contractor who was renovating a finished attic that included a toilet room whose toilet had a busted tank. It was an usually small toilet of a sort that is apparently no longer made and he had a devil of a time finding a replacement to fit the space.
A certain number of people want old toilet that use a volume approximately half that of Lake Erie for each flush, apparently loathing low-flow toilets. They aren’t making those anymore, either.