Most construction and household debris is fine. The limits come from Oregon law, from a City sorting duty, and from the county sites that receive the load.
Oregon runs a real ban list. The state says it is illegal to dispose of these at a solid waste disposal site: discarded or abandoned vehicles, large home or industrial appliances, used oil, tires, lead acid batteries, and computers, monitors, and televisions. The appliance category covers water heaters, refrigerators, stoves, dishwashers, washers, and dryers. Hazardous waste, liquids, paint, solvents, fuel, and asbestos stay out of any container as well.
Springfield adds a sorting duty most cities do not have. Under City rules, anyone who generates and self-hauls six cubic yards or more of construction and demolition debris must either separate the recyclable material at the site where it was generated or take the whole load to a material recovery facility for processing. The City's definition of that debris covers construction, renovation, repair, and demolition waste that contains recyclable material, and it excludes food waste, hazardous waste, and asbestos.
County rules fill in the rest. Tires over 20 inches are not accepted at Lane County sites, propane and helium tanks over five gallons are refused, and asbestos goes to the landfill by appointment only. Put a tire in the pit and the County doubles the fee plus retrieval costs.
When something on your list looks borderline, check it with your account manager before it goes in the container.