https://ibb.co/yypDggs
https://ibb.co/5rg9Qwd

Don't throw them away, except from the case and/or PSU maybe that shipping probably isn't worth it.
Instead you could offer them for the cost of shipping, many members here are interested to hardware way older than this.

If you listed your location someone will likely take it off your hands for beer tokens.

I'm from Poland. I could list it on local online advertising service website portal probably.

We have a giveaway thread running here...
Old hardware giveaway thread.

But we've seen a few members start with "only" more recent systems, then get the bug within a year or two and start getting interested in everything back to the IBM PC/XT era. So I would advise not being too hasty in getting rid of things you have space for, in case you want it later. That's usually only the case for newcomers to the retro scene though, if you're only a relative newcomer to Vogons then I guess you know what you want.

One thing you might want to do straight away is remove that Varta battery. Looks like some blue/green corrosion nearby that'll only get worse, so cut the battery out. Once it's gone then I think the usual advice is to wash/scrub the area with distilled vinegar to neutralise the leakage, then wash it with water and let it dry. Doesn't look too bad at the moment, so I don't think it'll have broken anything yet.

You could at least post a picture of the graphics card. Well, VLB graphic cards aren't easy to remove, don't get hurt!

A lot of people are interested in a Cyrix 486 DX 40 with VLB graphics and in that interesting ISA OPL2-based Quickshot soundcard with chips from Creative Labs.

https://ibb.co/VBvBkxt
https://ibb.co/JmpyqFt
https://ibb.co/tq1NCPd
https://ibb.co/2tsysRh

Ah, a Trident TGUI9400CXI.

So this system rather looks like standard VLB before DX2.

What to do with it?

486's are popular, at the very least AT cases are hard to find.
It would be worth something to someone even if sold as untested 486.
I'd put it up on Facebook marketplace or similar that way you don't have to worry about shipping.
Not sure how much it's worth that'll depend on where you live and how easy pick up is. I'd thing €50 or best offer would generate a bit of interest if you just want it gone.

battery leaked hard, motherboard is DOA

Sephiroth, The Great wrote on 2024-04-01, 15:28:

What to do with it?

obviously give it to me 😀