Lumber, siding, drywall, roofing, flooring, trim, cabinets, fixtures, carpet, and general cleanout junk all load fine. The restrictions come from Washington's rules and from what the Island County facilities will take.
Household hazardous waste never goes in a container. Island County says plainly not to throw paints, solvents, cleaners, or gasoline in the trash, and it takes oil-based paint, oil, antifreeze, and similar material at its facilities at no charge.
Fluorescent bulbs and tubes are another one to pull out. They contain a small amount of mercury, so the county asks that they be kept intact in their packaging and brought to a county site rather than tossed or broken.
Electronics go through the state recycling program at county facilities, which take televisions, monitors, computers, laptops, tablets, and eReaders.
Asbestos is handled by the regional air authority rather than the landfill, and the county routes it to the Northwest Clean Air Agency. Burning construction waste is illegal in the county as well, so that is never the shortcut it looks like. If an item has you unsure, ask your account manager before it goes in the container.