Lumber, drywall, roofing, siding, flooring, cabinets, fencing, furniture, and ordinary household debris are all fine in a container. The limits come from Oregon's handling rules and from what the receiving site will take.
Hazardous waste is out in every case. Paint, solvents, fuel, motor oil, antifreeze, pesticides, pool chemicals, and asbestos all need separate handling, as do liquids and sealed drums. Electronics have their own route in Oregon and should not be buried in a mixed load.
Oregon also sets a priority order for waste that shapes how a load is handled rather than banning the material outright. Reducing, reusing, recycling, composting, and energy recovery all come ahead of landfilling, and only what cannot be handled another way is meant to be buried at a site the state has approved. In practice that is why a separated load gets a different price from a mixed one.
Two local limits are live right now. The County has recorded that the Kerby and Valley View transfer stations are not accepting commercial loads of fire debris, which matters on any cleanup job. And landlords and owners associations in Ashland may fall under the multifamily recycling requirements, so a property manager clearing units should check their own obligations. Ask your account manager about any item you are unsure of before it goes in the container.