The city is inching toward a planned purge of the island’s abandoned vehicles and assorted clutter.

The unsightly problem has been a longstanding issue in public parking spaces such as at Shoemaker Bay Harbor, with unroadworthy vehicles left there to the elements. But under municipal code junk vehicles on private property are also not allowed, and the rule extends to other collections on display deemed to be a “nuisance” by authorities. This means disused vehicles like cars and boats, rusting piles of scrap or broken equipment, and other items.

The City and Borough Assembly touched on...