Honestly, I've never heard of a law like that. The U.S. is a big place; whereas that may be the case in parts of the country, in the south where I'm from, that's never become known to me, especially in the rural areas where I grew up. Instead, the people using your things without permission are at the very least trespassing.
IANAL, and I can't find a definitive statement of where the doctrine applies, but I see it referenced in cases in many US southern states (AL, GA, AR, KY, FL, TX). I know that the particulars vary in many states, based on precedent and statute, but I'm not aware of anywhere it's absent entirely. Hopefully someone more knowledgeable will come along and clarify.
Note that "attractive nuisance" is specifically about trespassing children.
It's a very well entrenched common law concept. The same goes for swimming pools: if you build a swimming pool and don't put an adequate fence around it, and a kid comes by, jumps in and drowns, you're probably going to be found liable (not criminally, but you can be successfully sued for it)
The only attractive nuisance laws I've heard of applied to children. If you have a swimming pool without a fence, and a child sneaks onto your property and drowns you are liable.
IANAL, and it's hear say, but I had thought this was something everyone knew.
