Standard remodel and demolition debris is fine. Lumber, drywall, roofing, flooring, cabinets, doors, windows, fixtures and household cleanout material all load without trouble.
Wisconsin bars a fixed set of materials from landfill and incinerator disposal, and the state applies those bans in homes and businesses alike. The ones that reach a container are electronics, lead acid batteries, major appliances, waste oil and used oil filters, tires and yard waste. The city code reinforces it locally: tires are not collected and go to the Municipal Service Building at the owner's cost, and batteries and oils are treated as hazardous and left out entirely.
On an Oak Creek job nothing hazardous goes in, and that rules out liquids, paint, solvents, fuel and asbestos. The city code also lists acids, blasting materials, fireworks, ammunition, lacquers, varnishes and radioactive material among the substances that must never go in a refuse container.
Wisconsin sets no ban on construction and demolition debris, so the mixed load from a remodel is acceptable at a landfill. Yard waste is the one that surprises people, since grass clippings are refused even at the city yard.
Run anything borderline past your account manager before loading, and it stays a question rather than a rejected load.