Most household and construction debris is fine. The limits come from Missouri's own landfill bans and from what the receiving facility will take.
The state has banned several items from Missouri landfills outright. Major appliances are first on that list, and the state spells them out: refrigerators, freezers, washers, dryers, stoves, ovens, dishwashers, trash compactors, water heaters and other white goods. Whole tires are banned. So are lead-acid batteries, the kind in cars and boats. Waste oil is banned too, including lubricating, transmission, hydraulic and fuel oil. One useful detail: a microwave is no longer counted as a major appliance in Missouri, and an oil filter is accepted once it has drained for a full day.
Hazardous waste sits outside the city's definition of solid waste entirely, so it cannot ride in a standard container. Keep out liquids, paint, solvents, fuel and asbestos. Arnold also bars putting a dead animal in a waste container.
The Missouri Department of Natural Resources is clear that all construction, renovation and demolition waste has to go to a permitted facility, whether the job was commercial or at a house. That is exactly what a roll-off rental does for you.
If you are unsure about an item, ask your account manager before it goes in.