Even if it is registered, some councils have bylaws that allow them to tow vehicles that do not move. Here in Maroondah it is 7 days without moving and they can tow and impound it..

"A person must not allow any vehicle currently registered with VicRoads or any other relevant body to be left standing continuously in any public place for a period in excess of seven consecutive days"

Councils have the legal right to remove unregistered vehicles cluttering road ways. If you have been spoken too about it, it would mean people have complained about it. The only recourse you have my friend is to move it. Re register it, or sell it.

When it happened to me i had every intention of having it towed but when somebody puts a sticker on it saying they will take it for free who am i to argue. And it would have cost me more than $80 to get rid of the rubbish inside it as it was full to the roof with old tyres and batteries etc. :)

You guys got ripped!
After pulling the L20, 5spd and wheels, struts and x-member out of a Bluebird I used as a donor for my 120Y project, a scrap metal place came and towed it away and paid me $80 :)

I did the same as Crumb, but by accident. I had a really ugly useless car given me. While I was failing to come up with some use for it, the Air Force, not liking its looks on their base, towed it away. My friends and I stood silently smiling and watched it go, good riddance too.

And people think im a tight a $$

On a more positive note these laws can be used to your advantage, i had a car that i stripped down to a shell with no wheels. I dragged it down the back alley and on to the street with the intention of get someone to remove it. I called a few people to pick it up but no one would take it without wheels and full of #OOPS#, but our council being in a hurry to keep the street clean came past and stuck a sticker on it to say that they would tow it away if i did not move it, so i let them. Saved me the money of paying someone to take it. And its not like they couldn't find out where the car was from to get me to do something about it as there were huge white scrap marks from the car to the garage door.

Move it immediately and work on it somewhere else.
There were excellent suggestions: put a car cover on it
and put it up on a trailer.
Perhaps your motor vehicle registration people could be of help in finding a way out of trouble for you.
When I am in doubt, I look up the legal code covering it and make sure I am in compliance. The regulation on your car may have been made before many people living in apartments made race cars. Many farmers have made race cars, they had spare time and lots of room. Move to the country.

put it on a registered car trailer ,problem solved

One trick you could have tried was to put a car cover over it so the plates and vehicle couldn't be seen.