I’ve stripped down more than my share of donor cars over the years. I’ve always done it with the car parked in a garage so I can avoid keeping either insurance or current registration on it. When finished, I call the scrap yard, and tell them they’ll need a tilt bed to get the hulk. (I usually don’t leave them much.) If you can get it to the yard yourself, you can get money for it, but if they come get it, they’ll just take it away for free. Make sure you have the title with you, and make sure the person picking it up signs it. I usually wrote “scrapped” on it with a black permanent market, just to be sure it didn’t come back to “haunt” me later.
If you’re going to leave it outside, I echo others here who say strip it down as quickly as possible and get rid of the rest. You’re neighbors don’t want to look at a pile of junk sitting in your driveway, and i can’t say as I blame them.