Most remodel and cleanout debris is welcome. The limits come from Wisconsin's recycling law and from what each facility will take at the scale.
The Wisconsin Department of Natural Resources bans a defined list from landfills statewide, and the ban applies to businesses and job sites as much as to homes. Out are lead acid batteries, major appliances, electronics, aluminum, corrugated cardboard, magazines, newspapers, office paper, glass containers, number one and number two plastic containers, and steel and bi-metal containers. Oil filters and oil absorbing material are allowed only once all free-flowing oil has been drained.
Yard material and tires can't simply be buried either. They're limited to energy recovery at an approved facility, so keep them in their own load.
The Winnebago County transfer station adds its own refusals, and they matter on a construction job. It will not take tree stumps, stone, brick, concrete, sod, soil, sand, dirt, gravel, telephone poles, railroad ties, boats, campers, or anything containing asbestos. Industrial and special wastes, and contaminated soil, need pre-approval.
Hazardous waste, liquids, paint, solvents, and fuel stay out of a standard container too. Ask your account manager about anything in a gray area before it goes in.